Answer
The determinant of the given matrix is zero therefore it has no inverse.
(Refer to the step-by-step for the solution.)
Work Step by Step
We know that for a matrix
\[
\left[\begin{array}{rr}
a & b \\
c &d \\
\end{array} \right]
\]
the determinant $D$ can be computed using the formula
$D=ad-bc.$
We also know that if the determinant of a matrix is zero $(D=0)$, then the matrix has no inverse.
Note that the given matrix has
$D=[-3\cdot(-1)]-(0.5\cdot6)\\
D=3-3\\
D=0$
The determinant of the given matrix is zero therefore it has no inverse.
