Q.

If the product of the matrix  B=264101−11−4 with a matrix A has inverse C=−101113202, then A−1=

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a

−3−550914226

b

−35500921416

c

−3−5−809−72140

d

−3−3−50922146

answer is C.

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Detailed Solution

We have (BA)−1=C⇒A−1B−1=C⇒A−1=CB∴A−1=−101113202264101−11−4 =−3−5−809−72140
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If the product of the matrix  B=264101−11−4 with a matrix A has inverse C=−101113202, then A−1=