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  • Explain solution RD Sharma class 12 Chapter 6 Adjoint and Inverse of a Matrix exercise Fill in the blanks question 8

Explain solution RD Sharma class 12 Chapter 6 Adjoint and Inverse of a Matrix exercise Fill in the blanks question 8

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Answer  \rightarrow 9

Hint  \rightarrow A(\operatorname{adj} A)=\operatorname{det}(A) I_{n \times n}

Given   \rightarrow A is an invertible matrix of order 3 and \left | A \right |=3

Explanation  \rightarrow(\operatorname{adj} A)=|A|^{n-1}

                \begin{aligned} &=|A|^{3-1} \quad[n=3] \\ &=|A|^{2} \\ &|\operatorname{adj} A|=(3)^{2} \\ &=9 \end{aligned}

               

               

               

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