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Q. The matrix $\begin{bmatrix}1&0&0\\ 0&2&0\\ 0&0&0\end{bmatrix}$ is a

Matrices

Solution:

Let $A=\begin{bmatrix}1&0&0\\ 0&2&0\\ 0&0&0\end{bmatrix} \Rightarrow A^{T} =\begin{bmatrix}1&0&0\\ 0&2&0\\ 0&0&0\end{bmatrix}=A $

$\therefore A$ is a symmetric matrix