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Rectangular Matrix Product Poser (Posted on 2016-04-16) Difficulty: 4 of 5
Let A and B be the two matricies:
      [ 4  2 -10 ]       [ 0  3 ]
  A = [-1  1   5 ]   B = [-2  5 ]
      [-1 -2  -2 ]  
Find a 3x2 matrix C with rank 2 such that A*C = C*B.

See The Solution Submitted by Brian Smith    
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possible solution | Comment 1 of 4
Treating it as a linear system of 6 equations with variables V= (c11, c12, c21, c22, c31, c32), it is possible to put in form of a 6x6 matrix (A), so that A*V=0.

A can be reduce in the matrix reduction calculator to obtein:
V=(2, 4,-3, 0, 1, -1). 

In a 3x2 matrix form:
                                   
        2   4
C=  -3   0
         1 -1

                   -8    26
A*C=C*B=   0    -9
                     2    -2 

Edited on April 18, 2016, 1:52 am
  Posted by armando on 2016-04-17 12:08:10

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