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Problem
Problem
If
P
P
P
is an orthogonal matrix and
Q
=
P
A
P
T
Q = PAP^T
Q
=
P
A
P
T
and
B
=
P
T
Q
1000
P
B = P^T Q^{1000} P
B
=
P
T
Q
1000
P
, then
B
−
1
B^{-1}
B
−
1
, where
A
A
A
is involutory matrix a.
A
A
A
b.
A
1000
A^{1000}
A
1000
c.
I
I
I
d. None of these
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