Answer:
The matrix does not have an inverse.
Step-by-step explanation:
[tex]A=\begin{bmatrix}3a & 2a-6\\ 6a & 4a-12\end{bmatrix}[/tex]
[tex]det\ A=3a(4a-12)-6a(2a-6)\\\Rightarrow det\ A=12a^2-36a-(12a^2-36a)\\\Rightarrow det\ A=12a^2-36a-12a^2+36a\\\Rightarrow det\ A=0[/tex]
Since the determinant of the matrix is zero it is called a singular matrix.
Singular matrices do not have an inverse.
Hence, the matrix does not have an inverse.
