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.
Algebra ->
Matrices-and-determiminant
-> 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.
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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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