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385 bytes added ,  21:06, June 8, 2008
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more concepts, separated list into basic and deeper linear algebra concepts
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==Mathematics==
 
==Mathematics==
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In mathematics, matrices can be manipulated in a variety of ways, including [[addition]] and multiplication.  
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In mathematics, matrices can be manipulated in a variety of ways, including [[addition]] and [[multiplication]].  
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===Addition of matrices===
 
===Addition of matrices===
 
For example, to add two matrices, one would add their respective elements, thus:
 
For example, to add two matrices, one would add their respective elements, thus:
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</math>
 
</math>
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===Further matrix concepts===
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===Matrix concepts===
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====Basic concepts====
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*[[Adjoint]]
 
*[[Determinant]]
 
*[[Determinant]]
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*[[Diagonal matrix]] and [[Diagonalization]]
 
*[[Eigenspace]]
 
*[[Eigenspace]]
 
*[[Eigenvalue]]
 
*[[Eigenvalue]]
 
*[[Eigenvector]]
 
*[[Eigenvector]]
 
*[[Identity matrix]]
 
*[[Identity matrix]]
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*[[Jordan canonical form]]
   
*[[Inverse matrix]]
 
*[[Inverse matrix]]
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*[[Norm]]
 
*[[Null, column and row space]]
 
*[[Null, column and row space]]
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*[[Scalar]]
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*[[Trace]]
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*[[Transpose matrix]]
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*[[Vector]]
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====Advanced concepts====
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*[[Basis]]
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*[[Gram-Schmidt process]]
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*[[Hermitian]]
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*[[Jordan canonical form]]
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*[[Laplacian]]
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*[[Linear independence]]
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*[[Matrix reformation]]
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*[[Matrix transformation]]
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*[[Orthogonal matrix]]
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*[[Orthonormal matrix]]
 
*[[Resultant]]
 
*[[Resultant]]
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*[[Span]]
 
*[[Systems of linear equations]]
 
*[[Systems of linear equations]]
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*[[Transpose matrix]]
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*[[Transcriptor]]
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*[[Wronskian]]
    
[[Category:Mathematics]]
 
[[Category:Mathematics]]
 
[[Category:Computers]]
 
[[Category:Computers]]
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