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

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

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Answer: AA^{T}=\begin{bmatrix} 1& 2 & 3\\ 2 & 4 &6 \\ 3& 6 &9 \end{bmatrix}

Hint: Here , we use basic concept of matrix transpose.

Given: A=\begin{bmatrix} 1\\ 2\\ 3\\ \end{bmatrix}

Solution:

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

Here multiplication is possible.

AA^{T}=\left [1\times 1 \: 1\times2\: 1\times3 \: 2\times1\: 2\times2 \: 2\times3\: 3\times1\: 3\times2 \: 3\times 3 \right ]=\left [ 1 \: 2\: 3\: 2\: 4\: 6 \: 3\: 6\: 9 \right ]

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