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Problem
Problem
A square matrix
P
P
P
satisfies
P
2
=
I
−
P
P^2 = I - P
P
2
=
I
−
P
, where
I
I
I
is identity matrix. If
P
n
=
5
I
−
8
P
P^n = 5I - 8P
P
n
=
5
I
−
8
P
, then
n
n
n
is : (a) 4 (b) 5 (c) 6 (d) 7
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