SOLUTION: I just dont understand this question. Let matrix A= 1 3 2 5 B= 2 3 1 2 C= 15 23 25 38 and suppose that AYB=C. Find the matrix Y.

Question 29835: I just dont understand this question.
Let matrix
A=
1 3
2 5

B=
2 3
1 2

C=
15 23
25 38
and suppose that AYB=C. Find the matrix Y.

Thank you.
Answer by kev82(151) (Show Source): You can put this solution on YOUR website!
Hi,
There are two approaches to this. The obvious but quite long way is to let

. Then do the multiplication. You will get four equations and four unknowns, so with enough effort you can solve it. I'm not going to do this!
The more clever technique, and probably the way you are supposed to do it is to use a bit of matrix algebra. Because we know

and

we can work out

and

. Now let's take the equation and left multiply by

and right multiply by

we get.

As you know

for any invertable matrix

, so the equation simplifies to

Doing the multiplication you can work out

. If you have any trouble working out the inverses or doing the multiplication then please write back.
Hope that helps,
Kev
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