The matrix $\begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4 \end{bmatrix}$ is a
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → symmetric matrix ##
Let $A = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4 \end{bmatrix}$
$∴$ $A' = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4 \end{bmatrix} = A$
So, the given matrix is a symmetric matrix.
[since, for a square matrix $A$, if $A' = A$, then $A$ is called symmetric matrix]