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  • Provide Solutio for RD Sharma Class 12 Chapter 6 Adjoint and Inverse Matrix Exercise Fill in the blanks Question 5

Provide Solutio for RD Sharma Class 12 Chapter 6 Adjoint and Inverse Matrix Exercise Fill in the blanks Question 5

Answers (1)

Answer  \rightarrow zero matrix

Hint  \rightarrow Determinant of singular matrix is 0.

Given \rightarrow A is a singular matrix

Explanation   \rightarrow A^{-1}=\operatorname{adj} A /|A|

                A(\operatorname{adj} A)=|A| I                                               [As A is a singular matrix \therefore \left | A \right |=0 ]

                \begin{aligned} &=0 \cdot I \\ &=0 \end{aligned}

Hence,  A\left ( adj A \right )  is a null matrix.

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