Choose the correct answer from the given four options. The matrix… - Vidyadip

Question

Choose the correct answer from the given four options.
The matrix $\begin{bmatrix}1&0&0\\0&2&0\\0&0&4\end{bmatrix}$ is a:

Identity matrix.
Symmetric matrix.
Skew-symmetric matrix.
None of these.

✓

Answer

Symmetric matrix.

Solution:

We have $\text{A}=\begin{bmatrix}1&0&0\\0&2&0\\0&0&4\end{bmatrix}$

$\therefore\ \text{A}'=\text{A}$

So, the given matrix is a symmetric matrix.

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