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.
I have revised again the question, and this time the matrix reductor (see my precedent post) gave a wider answer.
It came out that the matrix C can be expressed as a linear combination of matricies:
[c11 c12] [4 -6] [-2 -4]
[c21 c22] = m* [-2 3] + n* [ 3 0]
[c31 c32] [0 0] [-1 1]
For each value of m and n there is a valid solution. My last post solution is particular when m=0, n=-1.
Other particular solution is for m=1 n=0. Then the matrix C has the last line in 0.
The solution in this case is simple but both non-zero lines are dependents, so I suppose this means that this particular solution is not a rank 2 matrix.
Posted by armando
on 2016-04-18 09:43:30