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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 15 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 15 maths textbook solution

Answers (1)

VSQ : 15

Answer : symmetric 

Given : A\neq 0 & A^{T}=A

Hint : use the property of \left ( A^{T} \right )^{-1}=\left ( A^{-1} \right )^{T}

Solution : \left ( A^{T} \right )^{-1}=\left ( A^{-1} \right )^{T}

\left ( A^{-1} \right )^{T}=A^{-1}\left ( A^{T}=A \right )

\left ( A^{-1} \right )^{T}=A^{-1}

Hence,A^{-1} is a symmetric 

 

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