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Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 6 Maths Textbook Solution.

Answers (1)

Answer: A+A^{T}=\begin{bmatrix} 4 & 8\\ 8 & 14 \end{bmatrix}

Hint: Here we use basic of transpose matrix

Given: A=\begin{bmatrix} 2 & 3\\ 5 & 7 \end{bmatrix}

Solution:

A+A^{T}

A=\begin{bmatrix} 2 & 3\\ 5 & 7 \end{bmatrix},A^{T}=\begin{bmatrix} 2 &5 \\ 3 & 7 \end{bmatrix}

A+A^{T}=\begin{bmatrix} 2 & 3\\ 5 & 7 \end{bmatrix}+\begin{bmatrix} 2 & 5\\ 3 & 7 \end{bmatrix}=\begin{bmatrix} 4 &8 \\ 8 &14 \end{bmatrix}

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