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Problem
Problem
If
A
A
A
and
B
B
B
are square matrices of order
3
×
3
3 \times 3
3
×
3
such that
A
A
A
is an orthogonal matrix and
B
B
B
is a skew-symmetric matrix, then which of the following statement is true? a.
∣
A
B
∣
=
1
|AB| = 1
∣
A
B
∣
=
1
b.
∣
A
B
∣
=
−
1
|AB| = -1
∣
A
B
∣
=
−
1
c.
∣
A
B
∣
=
0
|AB| = 0
∣
A
B
∣
=
0
d. None of these
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