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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 7 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 7 maths textbook solution

Answers (1)

VSQ – 7

Answer: \left(A^{T}\right)^{-1}=\left[\begin{array}{ll} 5 & -2 \\ 3 & -1 \end{array}\right]

Given: A is non singular square matrix and \left(A\right)^{-1}=\left[\begin{array}{ll} 5 & 3 \\ -2 & -1 \end{array}\right]

Hint : you must know the formula \left(A^{T}\right)^{-1}

Solution : We know that 

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

\left(A^{T}\right)^{-1}=\left[\begin{array}{ll} 5 & 3 \\ -2 & -1 \end{array}\right]^{T}

\left(A^{T}\right)^{-1}=\left[\begin{array}{ll} 5 & -2 \\ 3 & -1 \end{array}\right]

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