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  • please solve rd sharma class 12 chapter adjoint and inverse of a matrix exercise multiple choice questions question 9 maths textbook solution

please solve rd sharma class 12 chapter adjoint and inverse of a matrix exercise multiple choice questions question 9 maths textbook solution

Answers (1)

option (c)  Det (A)

Given: B is non-singular matrix and A is square matrix

Hint: Use the property B-1B=I

Solution:

\begin{aligned} &\operatorname{det}\left(B^{-1} A B\right) \\ &=\operatorname{det}\left(B^{-1} B A\right) \\ &=\operatorname{det}(I A) \quad\left(\text { since }, B^{-1} B=I\right) \\ &=\operatorname{det}(A) \end{aligned}

Hence, option (c) is correct.

 

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