Q. If A =  0 - 1 2 2 - 2 0  and B = 0 1 1 0 1 1 , find a matrix C such that CAB = I = ABC, where I is the 2 x 2 unit matrix.

A=0-122-20B=011011Let D=ABD=0-122-20011011D=12-22We need to find C such thatCAB=I=ABCCD=I=DCi.e. we need to find inverse of DD=6Co-factor matrix P of Dp11=2p12=2p21=-2p22=1P=22-21Adj D=PT=2-221D-1=1DAdj D=162-221=13-131316C=D-1=13-131316

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