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Mathematics
Problem
Which one of the following relations between a non-singular square matrix
A
A
A
and its adjugate is correct? a)
A
−
1
=
adj
(
A
)
det
(
A
)
A^{-1}=\operatorname{adj}(A)\,\det(A)
A
−
1
=
adj
(
A
)
det
(
A
)
b)
A
−
1
=
det
(
A
)
adj
(
A
)
A^{-1}=\dfrac{\det(A)}{\operatorname{adj}(A)}
A
−
1
=
adj
(
A
)
det
(
A
)
c)
A
−
1
=
adj
(
A
)
det
(
A
)
A^{-1}=\dfrac{\operatorname{adj}(A)}{\det(A)}
A
−
1
=
det
(
A
)
adj
(
A
)
d)
A
−
1
=
[
adj
(
A
)
]
T
det
(
A
)
A^{-1}=\dfrac{[\operatorname{adj}(A)]^{T}}{\det(A)}
A
−
1
=
det
(
A
)
[
adj
(
A
)
]
T
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