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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 9 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 9 maths textbook solution

Answers (1)

VSQ : 9

Answer : symmetric matrix 

Given : A is a symmetric matrix 

Hint : A is a symmetric matrix when

A=A^{T}

A^{T} is symmetric when A^{T}=\left ( A^{T} \right )^{T}

So, we do transpose of A^{T}

\left ( A^{T} \right )^{T}

=A^{TT}

=A

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

Hence, A^{T} is a symmetric matrix         

                                                      \text { [e.g. } \left.\left[\begin{array}{ll} 1 & 2 \\ 2 & 1 \end{array}\right]^{\top}=\left[\begin{array}{ll} 1 & 2 \\ 2 & 1 \end{array}\right]\right]

 

 

 

 

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