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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 3

Need solution for RD Sharma Maths Class 12 Chapter 6 Adjoint and Inverse of Matrix Excercise Fill in the blanks  Question 3

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Given  \rightarrow A  and B  are square matrices of the same order and

Explanation  \rightarrow AB=3I

                  \begin{aligned} &A^{-1} A B=A^{-1} 3 I \qquad\left[A^{-1} A=A A^{-1}=I\right] \\\\ &I B=3 A^{-1} I \qquad\left[B I=I=I B^{2}\right] \\\\ &B=3 A^{-1} \end{aligned}

Hence,       A^{-1}=\frac{1}{3}B

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