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A square matrix satisfies
MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices
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 the 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
4
4
(b)
5
5
5
(c)
6
6
6
(d)
7
7
7
Related theory
Matrix Operations
Matrices
Properties of matrix operations
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