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Provide solution for rd sharma maths class 12 chapter adjoint and inverse of a matrix exercise multiple choice question question 18

Answers (1)

 option (b) d^{n-1}

Given: d is the determinant of a square matrix A of order n

Hint: you must know the formula of |\operatorname{adj} A|

Solution: 

\begin{aligned} &|\operatorname{adj} A|=|A|^{n-1} \\ &|\operatorname{adj} A|=d^{n-1} \quad(\therefore|A|=d) \end{aligned}

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