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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 17 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 17 maths textbook solution

Answers (1)

VSQ : 17

Answer : Given : A is an invertible matrix and \left | A^{-1} \right |=2

Hint : use the relation between \left | A^{-1} \right | and \left | A \right | of find the answer

Solution : We know that 

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

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