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  • Need solution for RD Sharma Maths Class 12 Chapter Algebra of Matrices Excercise 4.4 Question 7

Need solution for RD Sharma Maths Class 12 Chapter Algebra of Matrices Excercise 4.4 Question 7

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Answer: A^{T}-B^{T}=\begin{bmatrix} 4 &3 \\ -3& 0\\ -1 & -2 \end{bmatrix}

Given: \begin{bmatrix} 3 &4 \\ -1 & 2\\ 0 & 1 \end{bmatrix}=A^{T},B=\begin{bmatrix} -1 &2 &1 \\ 1& 2 & 3 \end{bmatrix}

Hint: The A^{T} of matrix  A can be obtained by reflecting the elements along it’s main diagonal.

Solution:

               A^{T}=\begin{bmatrix} 3 &4 \\ -1 & 2\\ 0 & 1 \end{bmatrix},B^{T}=\begin{bmatrix} -1 &1 \\ 2 &2 \\ 1 &3 \end{bmatrix}

               A^{T}-B^{T}=\begin{bmatrix} 3 &4 \\ -1 & 2\\ 0 & 1 \end{bmatrix}-\begin{bmatrix} -1 &1 \\ 2 &2 \\ 1 &3 \end{bmatrix}

                                  \begin{bmatrix} 3+1 &4-1 \\ -1-2& 2-2\\0-1&1-3 \end{bmatrix}=\begin{bmatrix} 4 &3 \\ -3& 0\\ -1 &-2 \end{bmatrix}

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