Find the matrix X satisfying the equation: .
Let A = B = C =
Then The given equations becomes as
AXB = I
= X = A – 1B – 1
|A| = 6 – 5 = 1
|B| = 10 – 9 = 1
A – 1 =
B – 1 =
= X = A – 1B – 1 =
=
Hence, X =