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how to decompose matrix like this?

Matrix decomposition definitionAbout inverse matrixesMatrix decomposition definitionSolving Systems of linear equations between a square matrix and a rectangular matrix with block decompositionWriting a matrix as a product of elementary matrices.What Is This Matrix Operation Called And What Is It Used For?How should the L matrix in LU decomposition be padded when m > n?Name of orthogonal/unitary matrix decomposition?spectral theorem - why does it only apply to a symmetric matrix?Decomposition of a diagonal matrixHow many possible factorizations are there for a square matrix, and how can we know?

2

$begingroup$

I want to have two matrixes of $ A $ and $B$ of a certain size, multiply them together $C = AB$, do some operations on $C$ to make $C_2$ and then decompose the matrix into to matrices of the same size as $A$ and $B$ so that $A_2B_2 = C_2$.

Which decomposition function can I use to achieve this?

EDIT: This is not a duplicate because the thread linked in the comments using LU decomposition says nothing about L and U being the same dimensions as the original matrix

matrices matrix-decomposition

share|cite|improve this question

edited Mar 29 at 3:34

deltaskelta

asked Mar 29 at 3:09

deltaskeltadeltaskelta

1194

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  See this website: math.stackexchange.com/questions/783222/…
  $endgroup$
  – BadAtGeometry
  Mar 29 at 3:14
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Possible duplicate of Matrix decomposition definition
  $endgroup$
  – BadAtGeometry
  Mar 29 at 3:15
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @BadAtGeometry No, it's not the same question at all. The other question is about terminology, and makes no mention about the property being asked about in the current question.
  $endgroup$
  – M. Vinay
  Mar 29 at 3:17
  

  
  
  
  

add a comment | 

2

$begingroup$

I want to have two matrixes of $ A $ and $B$ of a certain size, multiply them together $C = AB$, do some operations on $C$ to make $C_2$ and then decompose the matrix into to matrices of the same size as $A$ and $B$ so that $A_2B_2 = C_2$.

Which decomposition function can I use to achieve this?

EDIT: This is not a duplicate because the thread linked in the comments using LU decomposition says nothing about L and U being the same dimensions as the original matrix

matrices matrix-decomposition

share|cite|improve this question

edited Mar 29 at 3:34

deltaskelta

asked Mar 29 at 3:09

deltaskeltadeltaskelta

1194

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  See this website: math.stackexchange.com/questions/783222/…
  $endgroup$
  – BadAtGeometry
  Mar 29 at 3:14
  
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Possible duplicate of Matrix decomposition definition
  $endgroup$
  – BadAtGeometry
  Mar 29 at 3:15
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @BadAtGeometry No, it's not the same question at all. The other question is about terminology, and makes no mention about the property being asked about in the current question.
  $endgroup$
  – M. Vinay
  Mar 29 at 3:17
  

  
  
  
  

add a comment | 

$begingroup$

I want to have two matrixes of $ A $ and $B$ of a certain size, multiply them together $C = AB$, do some operations on $C$ to make $C_2$ and then decompose the matrix into to matrices of the same size as $A$ and $B$ so that $A_2B_2 = C_2$.

Which decomposition function can I use to achieve this?

EDIT: This is not a duplicate because the thread linked in the comments using LU decomposition says nothing about L and U being the same dimensions as the original matrix

matrices matrix-decomposition

share|cite|improve this question

edited Mar 29 at 3:34

deltaskelta

asked Mar 29 at 3:09

deltaskeltadeltaskelta

1194

$endgroup$

share|cite|improve this question

edited Mar 29 at 3:34

deltaskelta

asked Mar 29 at 3:09

deltaskeltadeltaskelta

1194

share|cite|improve this question

edited Mar 29 at 3:34

deltaskelta

asked Mar 29 at 3:09

deltaskeltadeltaskelta

1194

asked Mar 29 at 3:09

deltaskeltadeltaskelta

1194

asked Mar 29 at 3:09

deltaskeltadeltaskelta

1194