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Mathematics
Mathematics
Problem
For any square matrix
A
A
A
of order
n
n
n
, which one of the following statements is always true? a)
A
adj
A
=
I
n
A\,\text{adj}\,A = I_n
A
adj
A
=
I
n
b)
adj
A
=
∣
A
∣
A
−
1
\text{adj}\,A = |A|\,A^{-1}
adj
A
=
∣
A
∣
A
−
1
c)
A
adj
A
=
∣
A
∣
I
n
A\,\text{adj}\,A = |A|\,I_n
A
adj
A
=
∣
A
∣
I
n
d)
A
adj
A
=
∣
A
∣
A
A\,\text{adj}\,A = |A|\,A
A
adj
A
=
∣
A
∣
A
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