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Properties of Inverse Matrices
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Properties of Determinants
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Properties of Transposes
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Properties of Matrix Multiplication
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Properties of the Identity Matrix
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Math Formulas
>
Linear Algebra
> Properties of Inverse Matrices
Properties of Inverse Matrices
If we have an invertible matrix
A
, a positive integer k and a scalar c then the following are true:
(
A
-1
)
-1
=
A
(
A
-1
)
-k
= (
A
-k
)
-1
(c
A
)
-1
=
A
-1
/c
(
A
T
)
-1
= (
A
-1
)
T
Note that
A
-1
,
A
k
, c
A
and
A
T
are invertible as well.
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