SOLUTION: so i have matrix A and B and i want to find matrix X where (A^-1)^TX=B and the value for x=-1 3*3 A = x-4 -6 -7 -3 x+1 10 0 -3 0 3*2 B=

Algebra ->  Matrices-and-determiminant -> SOLUTION: so i have matrix A and B and i want to find matrix X where (A^-1)^TX=B and the value for x=-1 3*3 A = x-4 -6 -7 -3 x+1 10 0 -3 0 3*2 B=       Log On


   

Question 1207042: so i have matrix A and B
and i want to find matrix X
where (A^-1)^TX=B
and the value for x=-1
3*3
A =
x-4 -6 -7
-3 x+1 10
0 -3 0

3*2
B=
1 3
3 0
0 -1
thanks for the help
Answer by math_tutor2020(3831) About Me  (Show Source):
You can put this solution on YOUR website!

Hint:

%28A%5E%28-1%29%29%5ET%2AX+=+B

%28A%5ET%29%5E%28-1%29%2AX+=+B

A%5ET%2A%28A%5ET%29%5E%28-1%29%2AX+=+A%5ET%2AB

I%2AX+=+A%5ET%2AB

X+=+A%5ET%2AB

I'll let the student finish up.