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Determinant/Invertible matrix/Inverse/Exercise
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Let
M
{\displaystyle {}M}
be an
invertible
n
×
n
{\displaystyle {}n\times n}
-
matrix
. Show
det
(
M
−
1
)
=
(
det
M
)
−
1
.
{\displaystyle {}\det {\left(M^{-1}\right)}={\left(\det M\right)}^{-1}\,.}
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