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  4. The matrix A=[0 0 5 0 5 0 5 0 0] is a

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Q. The matrix $A=\begin{bmatrix}0 & 0 & 5 \\ 0 & 5 & 0 \\ 5 & 0 & 0\end{bmatrix}$ is a

Matrices

Solution:

Consider the matrix $A=\begin{bmatrix}0 & 0 & 5 \\ 0 & 5 & 0 \\ 5 & 0 & 0\end{bmatrix}$
This matrix is not a diagonal matrix and hence cannot be a scalar and unit matrix, because its non-diagonal elements are non-zero.
$\therefore$ It is just a square matrix.