Correct option is (A) 0
A scalar matrix is a square matrix in which all of the principal diagonal elements are equal and the remaining elements are zero.
3 x 3 scalar matrix \(\begin{bmatrix} k&0&0\\0&k&0\\0&0&k\end{bmatrix}\)
Given \( k + 0 + 0 + 0 + k + 0 + 0 + 0 + k = 9\)
\(\Rightarrow 3k = 9\)
\(\Rightarrow k = 3\)
So, the product of all its elements are \(k\times 0 \times 0\times 0 \times k \times 0\times 0\times 0\times k = 0\)
