en.wikipedia.org website review
Improve your SEO :: free trial!
en.wikipedia.org is 58% geoptimaliseerd!
SEO Keyword summary for en.wikipedia.org/wiki/system_of_linear_equations
Keywords are extracted from the main content of your website and are the primary indicator of the words this page could rank for. By frequenty count we expect your focus keyword to be solution
Focus keyword
Short and long tail
Short Tail Keywords solution system equations |
long Tail Keywords (2 words) solution set linear equations linear system linear algebra system has |
long Tail Keywords (3 words) system of linear amathbf x mathbf system of equations wdisplaystyle mathbf w least one solution example the equations solution set can |
en.wikipedia.org On-Page SEO Scan
Descriptive Elements
The <head> element of a en.wikipedia.org/wiki/system_of_linear_equations page is used to inform the browser and visitors of the page about the general meta information. The head section of the page is where we place the page title, the definition of the HTML version used, the language of in which the page is written. In the head section we can also include JavaScript and CSS (markup) files for the page.
Page title
Title length
system linear equations wikipedia
Meta description
Meta description legth
Meta description SEO
No meta relevance in the description detected !
Content SEO
Number of Words
Spam detected?
Headings
Heading distribution
Heading normalisation
Heading SEO impact
Emphasis (bold and italic)
Emphasis SEO impact
Images
Number of images
Images dimensions
Image alt descriptions
Images SEO impact
wikipedia free encyclopedia displaystyle begincases xfrac endcases xyz beginalignedat endalignedat frac left yright begincasesa dots nxnb vdots amnxnbmendcases amn beginbmatrixa endbmatrixx endbmatrixdots xnbeginbmatrixa nvdots amnendbmatrixbeginbmatrixb bmendbmatrix amathbf mathbf abeginbmatrixa cdots ddots amnendbmatrixquad beginbmatrixx xnendbmatrixquad beginbmatrixb textand textandy text yfrac textandzfrac begincasesx begincasesy ytfrac beginaligned tfrac rightarrow endaligned leftbeginarrayrrrr endarrayrighttext beginalignedleftbeginarrayrrrr endarrayrightsim endarrayrightendaligned beginvmatrix endvmatrixbeginvmatrix endvmatrixyfrac endvmatrixzfrac endvmatrix leftiaarightmathbf aamathbf leftia arightmathbf leftiirightmathbf blumathbf nxn amnxn qquad textandqquad leftmathbf any solution right three dimensional euclidean space edit wikidata wikimedia foundation powered mediawiki
Mobile SEO en.wikipedia.org/wiki/system_of_linear_equations
Mobile rendering
Mobile optimizations
Responsive design detected (mobile css)
No flash detected !
Mobile improvement
Marketing / lead generation for en.wikipedia.org/wiki/system_of_linear_equations
Social Media
Facebook shares | Facebook likes | ||
Facebook comments | Tweets | ||
Google +1 |
Conversion form
Search form
Analytics
Online presence
SERP Preview
SERP Title
SERP Link
SERP Description
Domain Level SEO
Domain name
16 characters long
Domain name SEO Impact
Path name
equation found in path !
equations found in path !
linear found in path !
system found in path !
Structured data
Publisher Markup
Other Structured data
Website configuration
Correct processing of non-existing pages?
Favicon icon found?
Robots.txt found?
Sitemap found?
Navigation and internal links
Navigation
Url seperator
Human readable urls
Number of links
Link SEO Impact
statistics
|
en.m.wikipedia.org |
en.wikipedia.org wikimedia foundation inc
|
w httpsenwikipediaorgwindexphptitlesystemoflinearequationsoldid1242552463
page information
printable version
prindle weber and schmidt
|
wiki plane
mathematics
linear equations
variables
solution
ordered triple
linear algebra
algorithms
numerical
engineering
physics
chemistry
computer science
economics
system of nonlinear equations
approximated
linearization
mathematical model
computer simulation
complex system
coefficients
real
complex numbers
field
algebraic structure
integral domain
ring
integers
linear equation over a ring
grbner basis
integer linear programming
tropical geometry
substitute
elementary algebra
unknowns
rational numbers
column vector
linear combination
vector space
modules
basis
linearly independent
dimension
matrices
solution set
line
intersection
empty set
threedimensional space
hyperplane
ndimensional space
flat
underdetermined system
overdetermined system
dimension
linear independence
consistent and inconsistent equations
contradiction
parallel
rouchcapelli theorem
augmented matrix
coefficient matrix
independent equations
solving
alphabetical order
degree of freedom
gaussian elimination
elementary row operations
reduced row echelon form
scalar
gaussjordan elimination
cramers rule
determinant
matrix of coefficients
inverse
moorepenrose inverse
numerical solution of linear systems
cracovian
pivoting
lu decomposition
symmetric
positive definite
cholesky decomposition
levinson recursion
toeplitz matrices
sparse matrix
iterative methods
jacobi method
quantum algorithm for linear systems of equations
homogeneous differential equation
zero vector
nonsingular matrix
vectors
subspace
null space
translation
linear subspace
image
linear transformation
arrangement of hyperplanes
iterative refinement
coates graph
lapack
fortran
c
linear least squares
decomposition
matrix splitting
nag numerical library
rybicki press algorithm
simultaneous equations
quanta magazine
wiley
isbn
houghton mifflin company
johns hopkins university press
prenticehall
arxiv
bibcode
pmid
s2cid
strang gilbert
outline
glossary
vector
scalar multiplication
vector projection
linear span
linear map
linear projection
multilinear map
change of basis
row and column vectors
row and column spaces
kernel
eigenvalues and eigenvectors
transpose
block
invertible
minor
multiplication
transformation
bilinear
orthogonality
dot product
hadamard product
inner product space
outer product
kronecker product
gramschmidt process
multilinear algebra
cross product
triple product
sevendimensional cross product
geometric algebra
exterior algebra
bivector
multivector
tensor
outermorphism
dual
direct sum
function space
quotient
tensor product
floatingpoint
numerical stability
basic linear algebra subprograms
comparison of linear algebra libraries
|
Links to external pages
Outloing links
ar.wikipedia.org
ast.wikipedia.org
az.wikipedia.org
ba.wikipedia.org
be.wikipedia.org
be-tarask.wikipedia.org
ca.wikipedia.org
cv.wikipedia.org
cs.wikipedia.org
de.wikipedia.org
et.wikipedia.org
el.wikipedia.org
es.wikipedia.org
eo.wikipedia.org
eu.wikipedia.org
fa.wikipedia.org
fr.wikipedia.org
gl.wikipedia.org
ko.wikipedia.org
hi.wikipedia.org
hr.wikipedia.org
id.wikipedia.org
ia.wikipedia.org
is.wikipedia.org
it.wikipedia.org
he.wikipedia.org
la.wikipedia.org
lv.wikipedia.org
lmo.wikipedia.org
hu.wikipedia.org
mk.wikipedia.org
nl.wikipedia.org
ja.wikipedia.org
no.wikipedia.org
nn.wikipedia.org
oc.wikipedia.org
pa.wikipedia.org
pnb.wikipedia.org
pl.wikipedia.org
pt.wikipedia.org
ro.wikipedia.org
ru.wikipedia.org
si.wikipedia.org
simple.wikipedia.org
sd.wikipedia.org
sk.wikipedia.org
sl.wikipedia.org
ckb.wikipedia.org
fi.wikipedia.org
sv.wikipedia.org
ta.wikipedia.org
tt.wikipedia.org
th.wikipedia.org
tr.wikipedia.org
uk.wikipedia.org
ur.wikipedia.org
vi.wikipedia.org
wuu.wikipedia.org
zh-yue.wikipedia.org
zh.wikipedia.org
www.wikidata.org
www.wikidata.org
commons.wikimedia.org
www.britannica.com
math.berkeley.edu
books.google.com
books.google.com
www.quantamagazine.org
www.archive.org
www.arxiv.org
ui.adsabs.harvard.edu
www.doi.org
pubmed.ncbi.nlm.nih.gov
api.semanticscholar.org
web.archive.org
www.arxiv.org
www.doi.org
commons.wikimedia.org
www.wikidata.org
www.d-nb.info
foundation.wikimedia.org
foundation.wikimedia.org
foundation.wikimedia.org
www.wikimediafoundation.org
SEO Advice for en.wikipedia.org
In this section we provide pointers on how you can to optimize your web page so it can be found more easily by search engines and how to make it rank higher by optimizing the content of the page itself. For each of the individual criteria the maximum score is 100%. A score below 70% is considered to be indication that the page is not complying with general SEO standards and should be evaluated and/or fixed. Not every factor is weighted the same and some are not as important as others. Relatively unimportant factors like meta keywords are not included in the overall score.
Item | Factor | Pointers | |
---|---|---|---|
PageTitle | 100% | Far too many sites lack a page title. A page title is the first thing that shows in the search results so always use the title element. | |
Title relevance | 98% | A title should reflect the contents of a site. This site has a 75 % match | |
Title Length | 80% | Limit your title to anywhere between 40 and 70 characters. Your title was 39 characters long | |
Meta Description | 0% | A meta description is the second element that shows in the search results so always use the meta description. | |
Meta description length | 0% | The meta description should be between 145 and 160 characters. This meta description is 1 characters long. | |
Meta description relevance | 0% | Meta Description should reflect the contents of a site. This site has a 0 % match | |
Number of internal links | 30% | Linking to internal pages makes pages easier to find for search engines. Try to keep the number of links on your page roughly below 100. There are 268 internal links on this page. | |
Folder structure | 100% | We found a folder structure in the links on your page. A good folder structure makes a site easier to navigate. We found 3 level 1 folders and 6 folders above or in the first level of navigation. | |
Headings | 69% | Headers should reflect the contents of a site. This site has a 30 % match | |
Links | 8% | Link anchors should to some degree reflect the contents of a site. This site has a 4 % match | |
Image alt tags | 28% | Image alt tags should to some degree reflect the contents of a site. This site has a 10 % match | |
Bold and italic | 39% | Bold and italic tags should reflect the contents of a site to some degree. This site has a 13 % match | |
Html ratio | 30% | Try to keep the html / text ratio as low as possible. More html means longer loading times. Layout should be handled in a serpate css file | |
Image descriptions | 84% | 84.33734939759 % of all images have been described via the "alt" attribute. Describing images with relevant text may lead to better results in the search engines. | |
Page errors | 100% | Pages with no errors display significantly faster on most browsers. We detected 0 errors and warnings | |
WordCount | 20% | An ideal page contains between 400 and 600 words.This page contains 5499 words | |
Server response time | 100% | A fast server speeds up a website. This server responds 2.07% faster then average | |
Gzip compression | 30% | This site does not use Gzip compression. Pages may not display as fast as they could | |
Keywords in Domainname | 30% | There are no important keywords in your domain name | |
Keywords in domain path | 100% | There are important keywords in the domain path | |
Structured Data | 100% | Structured data makes it easier for search engines to index your website | |
Inline css | 0% | Do not use inline css declarations. Inline css will slow down the rendering of the website. We detected 163 inline style declarations ( <a style="color:green">) with a size of 5203 bytes | |
Excessive use of the same words | 100% | There is no indication that there are one or more keywords that are used excessively. | |
Frames or iframes | 100% | Perfect, detected not (i)frames on your webpagina | |
Flash | 100% | Perfect, we detected no flash objects on your page | |
Css | 30% | We detected too much (2) CSS files on your page. Css files block the loading of a webpage. | |
Javascript | 100% | Perfect, we did not detect too many blocking JavaScript files | |
Mobile Website | 100% | Perfect, we found a responsive design for mobile users | |
Most important heading | 100% | Perfect, we detected a correct use of the most important (h1) heading! | |
Normalized headings | 40% | We dit not font a normalized heading structure. A heading 2 (h2) for example should be followed by a heading of an equal level (h2), a child heading (h3) or even a aprent heading (h1). |
How would you like to have SEO advice for all your pages ?? Start your SEO Dashboard and optimize your website!
en.wikipedia.org images and descriptions
74 images found at en.wikipedia.org Images can improve the user experience for a website by making a pag visually appealing Images can also add extra keyword relevance to a webpage by using alt tags. Images can also slow down a website. If the width and height for a picture is not specified for a browser know in advance how large the image is. A browser must first load the picture and see before it knows how much space should be on the page. Upon reservation In the meantime, the browser can do little but wait. When the height and width for the plate are given in the HTML code, a browser just continues to build for a page while the images load in the background.
http://en.wikipedia.org/static/images/icons/wikipedia.png height: 50 width: 50 description: no alt description found |
|
http://en.wikipedia.org/static/images/mobile/copyright/wikipedia-wordmark-en.svg height: height attribute not set width: width attribute not set description: wikipedia |
|
http://en.wikipedia.org/static/images/mobile/copyright/wikipedia-tagline-en.svg height: 13 width: 117 description: the free encyclopedia |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/a/a4/text_document_with_red_question_mark.svg/40px-text_document_with_red_question_mark.svg.png height: 40 width: 40 description: no alt description found |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/a/ab/secretsharing_3-point.svg/220px-secretsharing_3-point.svg.png height: 220 width: 220 description: no alt description found |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/12e6e6e9dcf7b5ef5a7ddb6451332c7a248457a2 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}3x+2y-z=1\\2x-2y+4z=-2\\-x+{\frac {1}{2}}y-z=0\end{cases}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/f186a34f432b0e63ec690152e8c106290c9d9b6c height: height attribute not set width: width attribute not set description: {\displaystyle (x,y,z)=(1,-2,-2),} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/3fd1d3360b1e037f634df50bf0f1405acdf94c44 height: height attribute not set width: width attribute not set description: {\displaystyle 2x=4} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/4ba0d302dee657b740f239df7d781071f6c247b5 height: height attribute not set width: width attribute not set description: {\displaystyle x=2.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/31362c58c90d896569ebe7aee86ab835edd1fd87 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{alignedat}{5}2x&&\;+\;&&3y&&\;=\;&&6&\\4x&&\;+\;&&9y&&\;=\;&&15&.\end{alignedat}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4 height: height attribute not set width: width attribute not set description: {\displaystyle x} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/b8a6208ec717213d4317e666f1ae872e00620a0d height: height attribute not set width: width attribute not set description: {\displaystyle y} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/e5b071ac862c00ea9e6e705b862dc6da685964c4 height: height attribute not set width: width attribute not set description: {\displaystyle x=3-{\frac {3}{2}}y.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/a3bb7a73e135625032208ef76d118c8c4e9aad4e height: height attribute not set width: width attribute not set description: {\displaystyle 4\left(3-{\frac {3}{2}}y\right)+9y=15.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/10f53b404b1fdd041a589f1f2425e45a2edba110 height: height attribute not set width: width attribute not set description: {\displaystyle y=1} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/486a5db1c61dfd01f6e5822c0ea77a97a56d2368 height: height attribute not set width: width attribute not set description: {\displaystyle x={\frac {3}{2}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/117a60f6f40e5f9eb71ff341c22917563633a58e height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}a_{11}x_{1}+a_{12}x_{2}+\dots +a_{1n}x_{n}=b_{1}\\a_{21}x_{1}+a_{22}x_{2}+\dots +a_{2n}x_{n}=b_{2}\\\vdots \\a_{m1}x_{1}+a_{m2}x_{2}+\dots +a_{mn}x_{n}=b_{m},\end{cases}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/75c2d357bc1b965979bf171b5ba3bac0f68961c2 height: height attribute not set width: width attribute not set description: {\displaystyle x_{1},x_{2},\dots ,x_{n}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/0bac3ab39e0a2b1d9d1f47af5af9e08701d3cb55 height: height attribute not set width: width attribute not set description: {\displaystyle a_{11},a_{12},\dots ,a_{mn}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/65445659bf1ac1f6a0b94857747e5256cbc4b9b2 height: height attribute not set width: width attribute not set description: {\displaystyle b_{1},b_{2},\dots ,b_{m}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/d31abcce8051bbd2cd60f41a61a17b35b2cf383c height: height attribute not set width: width attribute not set description: {\displaystyle x_{1}{\begin{bmatrix}a_{11}\\a_{21}\\\vdots \\a_{m1}\end{bmatrix}}+x_{2}{\begin{bmatrix}a_{12}\\a_{22}\\\vdots \\a_{m2}\end{bmatrix}}+\dots +x_{n}{\begin{bmatrix}a_{1n}\\a_{2n}\\\vdots \\a_{mn}\end{bmatrix}}={\begin{bmatrix}b_{1}\\b_{2}\\\vdots \\b_{m}\end{bmatrix}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/45d894430af69e29d6dda5aacbf4bb19336226a0 height: height attribute not set width: width attribute not set description: {\displaystyle a\mathbf {x} =\mathbf {b} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/dcdcd3fc5a04d379131e89f974de46b762eecc61 height: height attribute not set width: width attribute not set description: {\displaystyle a={\begin{bmatrix}a_{11}&a_{12}&\cdots &a_{1n}\\a_{21}&a_{22}&\cdots &a_{2n}\\\vdots &\vdots &\ddots &\vdots \\a_{m1}&a_{m2}&\cdots &a_{mn}\end{bmatrix}},\quad \mathbf {x} ={\begin{bmatrix}x_{1}\\x_{2}\\\vdots \\x_{n}\end{bmatrix}},\quad \mathbf {b} ={\begin{bmatrix}b_{1}\\b_{2}\\\vdots \\b_{m}\end{bmatrix}}.} |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/c/c0/intersecting_lines.svg/220px-intersecting_lines.svg.png height: 220 width: 220 description: no alt description found |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/d/d6/intersecting_planes_2.svg/220px-intersecting_planes_2.svg.png height: 220 width: 220 description: no alt description found |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/f/fb/one_line.svg/120px-one_line.svg.png height: 120 width: 120 description: no alt description found |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/1/19/two_lines.svg/120px-two_lines.svg.png height: 120 width: 120 description: no alt description found |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/d/df/three_lines.svg/120px-three_lines.svg.png height: 120 width: 120 description: no alt description found |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/0/0f/three_intersecting_lines.svg/220px-three_intersecting_lines.svg.png height: 220 width: 220 description: no alt description found |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/34514061fa890d7aeb05db114013d4631de46df1 height: height attribute not set width: width attribute not set description: {\displaystyle 3x+2y=6\;\;\;\;{\text{and}}\;\;\;\;6x+4y=12} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/3d26b40c273dff9c610f2f279460dff990412e49 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{alignedat}{5}x&&\;-\;&&2y&&\;=\;&&-1&\\3x&&\;+\;&&5y&&\;=\;&&8&\\4x&&\;+\;&&3y&&\;=\;&&7&\end{alignedat}}} |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/1/14/parallel_lines.svg/220px-parallel_lines.svg.png height: 220 width: 220 description: no alt description found |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/806109fad15e1c5fa55d1ac652fa7f833652df11 height: height attribute not set width: width attribute not set description: {\displaystyle 3x+2y=6\;\;\;\;{\text{and}}\;\;\;\;3x+2y=12} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/9387db0d00da512472d4814bb75481d44c09413e height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{alignedat}{7}x&&\;+\;&&y&&\;=\;&&1&\\2x&&\;+\;&&y&&\;=\;&&1&\\3x&&\;+\;&&2y&&\;=\;&&3&\end{alignedat}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/25a9f11f417cff000b5540ed42ea1df8da77a628 height: height attribute not set width: width attribute not set description: {\displaystyle (x=3,\;y=-2,\;z=6)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/bd044b71a38662829ab5e27ea15f154219466aa9 height: height attribute not set width: width attribute not set description: {\displaystyle (3,\,-2,\,6)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/2df5186f258524f2c10228557ba350aca8b473b8 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{alignedat}{7}x&&\;+\;&&3y&&\;-\;&&2z&&\;=\;&&5&\\3x&&\;+\;&&5y&&\;+\;&&6z&&\;=\;&&7&\end{alignedat}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/02f87078e85c17cfa1bfa549c6f30b0b8464b462 height: height attribute not set width: width attribute not set description: {\displaystyle x=-7z-1\;\;\;\;{\text{and}}\;\;\;\;y=3z+2{\text{.}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/9c4744e8c8a4cd5a82f44c4bc9bdf1797cf5fcde height: height attribute not set width: width attribute not set description: {\displaystyle y=-{\frac {3}{7}}x+{\frac {11}{7}}\;\;\;\;{\text{and}}\;\;\;\;z=-{\frac {1}{7}}x-{\frac {1}{7}}{\text{.}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/ae643afaed8d321baea42c52dddc7fe2b511667a height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}x+3y-2z=5\\3x+5y+6z=7\\2x+4y+3z=8\end{cases}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/af24710c8b7fd02c9ec11ad289e5767d6f2bba64 height: height attribute not set width: width attribute not set description: {\displaystyle x=5+2z-3y} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/e569e09e816d25c905cdcb7ced94c40fd7681ffd height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{cases}y=3z+2\\y={\tfrac {7}{2}}z+1\end{cases}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/8eef2d42dfc6ebaf53c0a81e4431dbed4504ccb4 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}3z+2={\tfrac {7}{2}}z+1\\\rightarrow z=2\end{aligned}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/ea0a8632950c312433528cd6bc4c7c2d273b2d98 height: height attribute not set width: width attribute not set description: {\displaystyle (x,y,z)=(-15,8,2)} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/6d99c79eb45b325d779be9693c613d9aec07b6d4 height: height attribute not set width: width attribute not set description: {\displaystyle \left[{\begin{array}{rrr|r}1&3&-2&5\\3&5&6&7\\2&4&3&8\end{array}}\right]{\text{.}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/5f6367f306a7947555dd25f9b3b29a5903efdabb height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{aligned}\left[{\begin{array}{rrr|r}1&3&-2&5\\3&5&6&7\\2&4&3&8\end{array}}\right]&\sim \left[{\begin{array}{rrr|r}1&3&-2&5\\0&-4&12&-8\\2&4&3&8\end{array}}\right]\sim \left[{\begin{array}{rrr|r}1&3&-2&5\\0&-4&12&-8\\0&-2&7&-2\end{array}}\right]\sim \left[{\begin{array}{rrr|r}1&3&-2&5\\0&1&-3&2\\0&-2&7&-2\end{array}}\right]\\&\sim \left[{\begin{array}{rrr|r}1&3&-2&5\\0&1&-3&2\\0&0&1&2\end{array}}\right]\sim \left[{\begin{array}{rrr|r}1&3&-2&5\\0&1&0&8\\0&0&1&2\end{array}}\right]\sim \left[{\begin{array}{rrr|r}1&3&0&9\\0&1&0&8\\0&0&1&2\end{array}}\right]\sim \left[{\begin{array}{rrr|r}1&0&0&-15\\0&1&0&8\\0&0&1&2\end{array}}\right].\end{aligned}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/89119b2cb41304a8c1a1f087667f76e738f8d01e height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{alignedat}{7}x&\;+&\;3y&\;-&\;2z&\;=&\;5\\3x&\;+&\;5y&\;+&\;6z&\;=&\;7\\2x&\;+&\;4y&\;+&\;3z&\;=&\;8\end{alignedat}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/eccc2f94350f08e89687a114d42682eb3bde8453 height: height attribute not set width: width attribute not set description: {\displaystyle x={\frac {\,{\begin{vmatrix}5&3&-2\\7&5&6\\8&4&3\end{vmatrix}}\,}{\,{\begin{vmatrix}1&3&-2\\3&5&6\\2&4&3\end{vmatrix}}\,}},\;\;\;\;y={\frac {\,{\begin{vmatrix}1&5&-2\\3&7&6\\2&8&3\end{vmatrix}}\,}{\,{\begin{vmatrix}1&3&-2\\3&5&6\\2&4&3\end{vmatrix}}\,}},\;\;\;\;z={\frac {\,{\begin{vmatrix}1&3&5\\3&5&7\\2&4&8\end{vmatrix}}\,}{\,{\begin{vmatrix}1&3&-2\\3&5&6\\2&4&3\end{vmatrix}}\,}}.} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/c663a816e9df20500c57fad3e135949594e2f95e height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} =a^{-1}\mathbf {b} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/83ba3a7118652cffd5de466dc439ee9184371d50 height: height attribute not set width: width attribute not set description: {\displaystyle a^{-1}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/b380a5ff4e2d7d22a0dc1aea46e7ecba61f95fe6 height: height attribute not set width: width attribute not set description: {\displaystyle a^{+}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/1dfe07d169a73899ce2ed3656f10e3cbf4bec70b height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} =a^{+}\mathbf {b} +\left(i-a^{+}a\right)\mathbf {w} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/20795664b5b048744a2fd88977851104cc5816f8 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {w} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/dbcfe155e035c1c6fed6f010768dda152ea4d465 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {w} =\mathbf {0} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/8a027e6b7082bf0bce3d14a468147fd873993ea9 height: height attribute not set width: width attribute not set description: {\displaystyle aa^{+}\mathbf {b} =\mathbf {b} .} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/bd1cd1f53207922a024b8ba8c8b6aa1b8426f237 height: height attribute not set width: width attribute not set description: {\displaystyle \mathbf {x} =a^{-1}\mathbf {b} +\left(i-a^{-1}a\right)\mathbf {w} =a^{-1}\mathbf {b} +\left(i-i\right)\mathbf {w} =a^{-1}\mathbf {b} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3 height: height attribute not set width: width attribute not set description: {\displaystyle a} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/f34a0c600395e5d4345287e21fb26efd386990e6 height: height attribute not set width: width attribute not set description: {\displaystyle d} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/f553df6d71bde4d8c86baa5ffe6705a412e86e95 height: height attribute not set width: width attribute not set description: {\displaystyle l+u} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/a6ebbfa25788095285f0675b14021cdb6b95ea6c height: height attribute not set width: width attribute not set description: {\displaystyle {\mathbf {x}}^{(0)}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/a3368551e193db8a81f92ad4fc7029600b47f35b height: height attribute not set width: width attribute not set description: {\displaystyle {\mathbf {x}}^{(k+1)}=d^{-1}({\mathbf {b}}-(l+u){\mathbf {x}}^{(k)})} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/690e84b53186e51bc6432fb1024e0c3a3b6e5041 height: height attribute not set width: width attribute not set description: {\displaystyle {\mathbf {x}}^{(k)}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/832f466e73981a249e41975aa77919734cfedd9d height: height attribute not set width: width attribute not set description: {\displaystyle {\mathbf {x}}^{(k+1)}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/4202200b0d227a22b89a37a24c8f41c521644006 height: height attribute not set width: width attribute not set description: {\displaystyle {\begin{alignedat}{7}a_{11}x_{1}&&\;+\;&&a_{12}x_{2}&&\;+\cdots +\;&&a_{1n}x_{n}&&\;=\;&&&0\\a_{21}x_{1}&&\;+\;&&a_{22}x_{2}&&\;+\cdots +\;&&a_{2n}x_{n}&&\;=\;&&&0\\&&&&&&&&&&\vdots \;\ &&&\\a_{m1}x_{1}&&\;+\;&&a_{m2}x_{2}&&\;+\cdots +\;&&a_{mn}x_{n}&&\;=\;&&&0.\\\end{alignedat}}} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/9f51dab2d10f98cebc72b24960edf3e14e06c1e5 height: height attribute not set width: width attribute not set description: {\displaystyle a\mathbf {x} =\mathbf {0} } |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/3144f044af31ffa73f20ff753c01b7b33de8b794 height: height attribute not set width: width attribute not set description: {\displaystyle a\mathbf {x} =\mathbf {b} \qquad {\text{and}}\qquad a\mathbf {x} =\mathbf {0} .} |
|
https://wikimedia.org/api/rest_v1/media/math/render/svg/489fd9da86ec847951c08469aafb8b4dd7adf9d6 height: height attribute not set width: width attribute not set description: {\displaystyle \left\{\mathbf {p} +\mathbf {v} :\mathbf {v} {\text{ is any solution to }}a\mathbf {x} =\mathbf {0} \right\}.} |
|
https://upload.wikimedia.org/wikipedia/en/thumb/4/4a/commons-logo.svg/12px-commons-logo.svg.png height: 16 width: 12 description: no alt description found |
|
https://upload.wikimedia.org/wikipedia/commons/thumb/2/2f/linear_subspaces_with_shading.svg/80px-linear_subspaces_with_shading.svg.png height: 58 width: 80 description: three dimensional euclidean space |
|
https://upload.wikimedia.org/wikipedia/en/thumb/9/96/symbol_category_class.svg/16px-symbol_category_class.svg.png height: 16 width: 16 description: no alt description found |
|
https://upload.wikimedia.org/wikipedia/en/thumb/8/8a/oojs_ui_icon_edit-ltr-progressive.svg/10px-oojs_ui_icon_edit-ltr-progressive.svg.png height: 10 width: 10 description: edit this at wikidata |
|
https://login.wikimedia.org/wiki/special:centralautologin/start?type=1x1 height: 1 width: 1 description: no alt description found |
|
http://en.wikipedia.org/static/images/footer/wikimedia-button.svg height: 29 width: 84 description: wikimedia foundation |
|
http://en.wikipedia.org/w/resources/assets/poweredby_mediawiki.svg height: 31 width: 88 description: powered by mediawiki |
How are images contributing to your SEO site-wise ? Your leading content tool has the awnsers!