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Question

A square matrix P satisfies P2=IP, where I is an identity matrix of order as order of P. if Pn=5I8P,then n=


Your Answer
A
4
Your Answer
B
5
Correct Answer
C
6
Your Answer
D
7

Solution

The correct option is A 6
Since P2=IP(Given)(1)
P3=P(IP)
P3=PP2=P(IP)
P3=2PI
Similarly P4=2P2P=2I3P AND P5=5P3I
P6=5P23P=5I8P
n=6

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