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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 25

Need solution for RD Sharma Maths Class 12 Chapter 6 Adjoint and Inverse of Matrix Excercise Fill in the Blanks Question 25

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Answer      \rightarrow \left[\begin{array}{ll} 3 & -4 \\ 1 & -1 \end{array}\right]

Hint    \rightarrow A^{-1}=\frac{1}{|A|} \operatorname{adj} A

Given   \rightarrow A=\left[\begin{array}{ll} 3 & -4 \\ 1 & -1 \end{array}\right]

Explanation   \rightarrow|A|=\left[\begin{array}{ll} 3 & -4 \\ 1 & -1 \end{array}\right]

                \begin{aligned} &=-3+4=1 \\ &\operatorname{adj} A=\left[\begin{array}{rr} -1 & 4 \\ -1 & 3 \end{array}\right] \end{aligned}

                \begin{aligned} &A^{-1}=\frac{1}{|A|} \operatorname{adj} A \\ &A^{-1}=\left[\begin{array}{ll} -1 & 4 \\ -1 & 3 \end{array}\right] \end{aligned}

               

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