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  • Need solution for RD Sharma Maths Class 12 Chapter 6 Adjoint and Inverse of Matrix Excercise Fill in the Blanks Question 12

Need solution for RD Sharma Maths Class 12 Chapter 6 Adjoint and Inverse of Matrix Excercise Fill in the Blanks Question 12

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Answer  \rightarrow 2 / 5

Hint  \rightarrow \operatorname{det}\left(A^{-1}\right)=1 / \operatorname{det}(A)

Given  \rightarrow A is a square matrix of order 3 such that |A|=5 / 2

Explanation   \rightarrow\left|A A^{-1}\right|=1

          \begin{aligned} &|A|\left|A^{-1}\right|=1 \\\\ &\left|A^{-1}\right|=\frac{1}{|A|}=\frac{1}{\frac{5}{2}} \\\\ &\left|A^{-1}\right|=2 / 5 \end{aligned}

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