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  • Explain Solution for RD Sharma Maths Class 12 Chapter 6 Adjoint and inverse of a Matrix Exercise very short answer type Question 18 maths textbook solution

Explain Solution for RD Sharma Maths Class 12 Chapter 6 Adjoint and inverse of a Matrix Exercise very short answer type Question 18 maths textbook solution

Answers (1)

VSQ : 18

Answer : 25

Given: A(\operatorname{adj} A)=\left[\begin{array}{lll} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{array}\right]

Hint : Use the formula of AA\left ( adjA \right )=\left | A \right |I

Solution : A(\operatorname{adj} A)=\left[\begin{array}{lll} 5 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 5 \end{array}\right]

\begin{aligned} &A(\operatorname{adj} A)=5 I \\ &|A|=5 \\ &N o w|\operatorname{adj} A|=|A|^{n-1} \\ &=(5)^{3-1}(n=3,|A|=5) \\ &=25 \end{aligned}

 

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