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Mathematics
Problem
If A and B are invertible matrices, then which of the following is not correct ? (A)
(
A
+
B
)
−
1
=
B
−
1
+
A
−
1
(A + B)^{-1} = B^{-1} + A^{-1}
(
A
+
B
)
−
1
=
B
−
1
+
A
−
1
(B)
(
A
B
)
−
1
=
B
−
1
A
−
1
(AB)^{-1} = B^{-1}A^{-1}
(
A
B
)
−
1
=
B
−
1
A
−
1
(C)
adj
(
A
)
=
∣
A
∣
A
−
1
\text{adj}(A) = |A| A^{-1}
adj
(
A
)
=
∣
A
∣
A
−
1
(D)
∣
A
∣
−
1
=
∣
A
−
1
∣
|A|^{-1} = |A^{-1}|
∣
A
∣
−
1
=
∣
A
−
1
∣
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