Find the determinant of matrix
A
=
[
−
2
0
0
−
2
]
\displaystyle {A}={\left[\begin{array}{cc} -{2}&{0}\\{0}&-{2}\end{array}\right]}
A
=
[
−
2
0
0
−
2
]
and use that determinant to decide if the matrix has a multiplicative inverse.
det
(
A
)
\displaystyle {\det{{\left({A}\right)}}}
det
(
A
)
This matrix does not have a multiplicative inverse
This matrix has a multiplicative inverse
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