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.
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 20160417 12:08:10 