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Mathematics
Mathematics
Problem
Let
A
A
A
and
B
B
B
be non-singular
2
×
2
2\times 2
2
×
2
matrices satisfying
A
B
=
I
2
AB=I_2
A
B
=
I
2
. Which one of the following statements is necessarily true? a)
det
B
=
1
\det B = 1
det
B
=
1
b)
B
A
=
I
2
BA=I_2
B
A
=
I
2
c)
B
A
BA
B
A
is a singular matrix d)
B
A
≠
I
2
BA\neq I_2
B
A
=
I
2
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