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Mathematics
Mathematics
Problem
Suppose
A
A
A
and
B
B
B
are square matrices of the same order such that
A
B
=
I
AB=I
A
B
=
I
. Which one of the following statements is necessarily true? a)
A
=
B
A=B
A
=
B
b)
det
(
A
)
=
0
\det(A)=0
det
(
A
)
=
0
c)
B
A
=
I
BA=I
B
A
=
I
d)
B
B
B
is singular
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