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

MCQ

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:

A
Identity matrix.
✓
Symmetric matrix.
C
Skew$-$symmetric matrix.
D
None of these.

✓

Answer

Correct option: B.

Symmetric matrix.

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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