Option C:
[tex]\left[\begin{array}{lll}3 & 0 & 0 \\0 & 3 & 0 \\0 & 0 & 3\end{array}\right][/tex]
Solution:
3 × 3 identity matrix is
[tex]I=\left[\begin{array}{lll}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{array}\right][/tex]
Scalar element = 3
Product of 3 × 3 identity matrix and scalar 3 is
[tex]3I=3\left[\begin{array}{lll}1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{array}\right][/tex]
3 multiplied into inside the matrix, we get
[tex]3I=\left[\begin{array}{lll}3 & 0 & 0 \\0 & 3 & 0 \\0 & 0 & 3\end{array}\right][/tex]
The product of 3 × 3 identity matrix and scalar 3 is
[tex]\left[\begin{array}{lll}3 & 0 & 0 \\0 & 3 & 0 \\0 & 0 & 3\end{array}\right][/tex]
Option C is the correct answer.
