If A=0 1 21 2 33 a 1 and A−1=12−1212−43c52−3212 , then the values of a and c are respectively is equal to
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a
1,1
b
1,−1
c
1,2
d
−1,1
answer is B.
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Detailed Solution
Given that A=0121233a1 and A−1=12−1212−43c52−3212 we have I=AA−1=120121233a11−11−862c5−31=120−8+100+6−60+2c+21−16+15−1+12−91+4c+33−8a+5−3+6a−33+2ac+1=10c+1012(c+1)4(1−a)3(a−1)2+ac Comparing the elements of AA−1 with those of I=1 0 00 1 00 0 1 , we have c+1=0 or c=−1a−1=0 or a=1