Q33 of 74 Page 7

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 =


More from this chapter

All 74 →
31

Find the matrix X satisfying the matrix equation: .

 32

Find the matrix X for which: .

 34

If , find A–1 and prove that A2 – 4A–5I = O.

 35

If A is a square matrix of order n, prove that |A adj A| = |A|n.