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Problem
Problem
Let
P
P
P
and
Q
Q
Q
be
3
×
3
3 \times 3
3
×
3
matrices with
P
≠
Q
P \neq Q
P
=
Q
, if
P
3
=
Q
3
P^3 = Q^3
P
3
=
Q
3
and
P
2
Q
=
Q
2
P
P^2 Q = Q^2 P
P
2
Q
=
Q
2
P
, the determinant of
(
P
2
+
Q
2
)
(P^2 + Q^2)
(
P
2
+
Q
2
)
is equal to a. 0 b. -1 c. -2 d. 1
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