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Need solution for rd sharma maths class 12 chapter adjoint and inverse of a matrix exercise multiple choice question question 19

Answers (1)

option (d)2^{6}

Given:n=3 \& |A|=8

Hint: to find the answer, put the given value in the formula |adj A|

Solution:

 
\begin{aligned} &|\operatorname{adj} \mathrm{A}|=|\mathrm{A}|^{n-1} \\ &|\operatorname{adj} \mathrm{A} \mid=(8)^{3-1} \quad(\therefore n=3 \&|A|=8) \\ &=8^{2} \\ &=\left(2^{3}\right)^{2} \\ & |adj A|=2^{6} \end{aligned}

Hence, option (d) is correct

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