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 =


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