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A square matrix P satisfies P^2=I-P, whe...

A square matrix P satisfies `P^2`=I-P, where I is the identity matrix,If`P^n=5I-8P,` then n is equal to

A

4

B

5

C

6

D

7

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • For a square matrix P satisfying the realation P^2 =I -P , where I is an identity matrix, and if P^n =5I-8P then the value of n is :4

    A
    4
    B
    5
    C
    6
    D
    7

  • A square matrix A of order 3 satisfies A^(2)=I-2A , where I is an identify matrix of order 3. If A^(n)=29A-12I , then the value of n is equal to

    A
    3
    B
    4
    C
    5
    D
    6

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