Solve unknow array/matrix

I have a know 2x2 array (3 0; 0 2)that get multiplied by array A and the answer is a known array C(1 2 3; 4 5 6), how can I solve all the elements in array A?

Answer 1

[the cyclist]

% Input
B = [3 0; 0 2];
C = [1 2 3; 4 5 6];

% Solve for A
A = B\C

A = 2×3

0.3333 0.6667 1.0000 2.0000 2.5000 3.0000

% Verify
B * A

ans = 2×3

1 2 3 4 5 6

[John D'Errico]

Yes, of course. With only the caveat that an exact solution need not always exist. If B does not have full rank, then SOME of the time, there will be no solution.