Answer
The determinant of the given matrix is zero therefore it has no inverse.
Refer to the step-by-step part 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 $D$ is given by the formula
$D=ad-bc.$
We also know that if $D=0$, then the matrix has no inverse.
The given matrix has
$D=(-3\cdot0)-(4\cdot0)\\
D=0-0\\
D=0$
The determinant is zero therefore the given matrix has no inverse.
