Home
Class 12
MATHS
If P=[{:(2,-2,-4),(-1,3,4),(1,-2,-3):}],...

If `P=[{:(2,-2,-4),(-1,3,4),(1,-2,-3):}]`, then `P^(5)` equals-

A

P

B

2P

C

`-P`

D

`-2P`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2014|2 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2015|5 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2012|4 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos

Similar Questions

Explore conceptually related problems

If P={:[(2,-2,-4),(-1,3,4),(1,-2,-3)]:} then show that, p^(2)=p .

If P={:[(-1,3,5),(1,-3,-5),(-1,3,5)], show that, P^(2)=P hence find matrix Q such that 3P^(2)-2P+Q=I , where I is the unit matrix of order 3.

If A=[{:(2,3,-1),(1,4,2):}] and B=[{:(2,3),(4,5),(2,1):}] then prove that AB and BA are not equal.

If A=[(1,2),(3,4),(5,6)] and B=[(-3,-2),(1,-5),(4,3)] , then find D=[(p,q),(r,s),(t,u)] such that A+B-D=O .

If [(2,-1),(1,0),(-3,4):}]xxP= [(-1,-8,-10),(1,-2,-5),(9,22,15):}] , find the matrix P.

Let, P=({:(cos""pi/4, -sin""pi/4),(sin""pi/4, cos""pi/4):}) " and " x=({:(1/sqrt(2)),(1/sqrt(2)):}) . Then P^(3)X is equal to-

If P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of a 3xx3 matrix A and det. (A)=4 , then the value of alpha is ______ .

If A=[(5a,-b),(3, 2)] and A adj A=A A^T , then 5a+b is equal to: (1) -1 (2) 5 (3) 4 (4) 13

If AxxB = {(1,2),(3,4),(5,2),(1,4),(3,2),(5,4)} , find BxxA .

If x^2+y^2=1 and P=(3x-4x^3)^2+(3y-4y^3)^2 then P is equal to