SOLUTION: Hi all, I was hoping someone would explain to me how to write the matrix below (B) in terms of matrix (A). A = (2 0 3) (0 1 0) (1 0 1) B = (-1 0 3) (0 1 0) (1 0 -2) I

Question 305288: Hi all, I was hoping someone would explain to me how to write the matrix below (B) in terms of matrix (A).
A =
(2 0 3)
(0 1 0)
(1 0 1)
B =
(-1 0 3)
(0 1 0)
(1 0 -2)
I have solved the product of AB, and I am meant to use this to write B in terms of A.
Product AB =
(1 0 0)
(0 1 0)
(0 0 1)
Any help would be great.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
[A][B]=[I]
then
[B]=[A]inv
Since their product is the identity matrix, then [B] is the inverse of [A].

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