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please solve rd sharma class 12 chapter adjoint and inverse of a matrix exercise multiple choice questions question 5 maths textbook solution

Answers (1)

Option (b) Singular

Given: A is a singular matrix

Hint: \left | A \right |=0  when matrix is singular


We know that

\begin{aligned} &A(a d j A)=|A| \times 1=0 \times 1=0 \\ &\Rightarrow A(\operatorname{adj} A)=0 \end{aligned}

Hence, matrix is singular then adjoint is also singular. So, option b is correct


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