LawrenceWinkler/MatrixDecomposition

LawrenceWinkler`MatrixDecomposition`

UVTransposeMatrix

UVTransposeMatrix[A,B]
	Decompose product of mxp matrices A and pxn B into a set of p mxn rank 1 matrices

Details and Options



Examples

(1)

Basic Examples

(1)

In[1]:=

A1=Partition[Table[i,{i,12}],4];A1//MatrixForm

Out[1]//MatrixForm=

In[2]:=

Clear[a,b,c,d,e,f,g,h,i,j,k,l];A2={{a,b,c,d},{e,f,g,h},{i,j,k,l}};A2=Transpose[A2];A2//MatrixForm

Out[2]//MatrixForm=

In[3]:=

(*Normalmatrixproduct*)A1.A2//MatrixForm

Out[3]//MatrixForm=

In[4]:=

(*A1.A2assumofrank1matrices*)rank1=

UVTransposeMatrix

[A1,A2];MatrixForm[#]&/@rank1

Out[4]=



,

,

,



In[5]:=

Plus@@rank1//MatrixForm

Out[5]//MatrixForm=

SeeAlso

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