The determinant has to be zero for singular. The singular matrix from the given options is D. [tex]\left[\begin{array}{ccc}-12&-4\\9&3\end{array}\right] \\[/tex]
What is the singular matrix?
In order for a matrix to be singular, the determinant has to be zero.
we need to find the singular matrix from the given options.
Let the matrix
[tex]\left[\begin{array}{ccc}-12&-4\\9&3\end{array}\right] \\[/tex]
So, it determinant will be
-12 x 3 - (-4) x 9
= -36 + 36
= 0
Hence, the determinant of the matrix is zero.
Therefore, the matrix is a singular matrix .
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