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  • Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 39 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 39 Maths Textbook Solution.

Answers (1)

Answer: A+A^{T}=\begin{bmatrix} 2 & 5\\ 5 & 8 \end{bmatrix}

Hint: Here we use basic transpose of matrix

Given: A=\begin{bmatrix} 1 & 3\\ 2 & 4 \end{bmatrix} Find\: A+A^{T}

Solution:

Let's find A^{T} first

A^{T}=\begin{bmatrix} 1 & 2\\ 3 & 4 \end{bmatrix}           [For tranpose]

A+A^{T}=\begin{bmatrix} 1 & 3\\ 2 & 4 \end{bmatrix}+\begin{bmatrix} 1 & 2\\ 3 & 4 \end{bmatrix}

                = \begin{bmatrix} 1+1 & 3+2\\ 3+2 & 4+4 \end{bmatrix}=\begin{bmatrix} 2 & 5\\ 5 & 8 \end{bmatrix}

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