Home
Class 12
MATHS
Let, I=({:(1,0,0),(0,1,0),(0,0,1):}) " a...

Let, `I=({:(1,0,0),(0,1,0),(0,0,1):}) " and " P=({:(1,0,0),(0,-1,0),(0,0,-2):})`. Then the matrix `P^(3)+2P^(2)` is equal to -

A

P

B

I-P

C

2I+P

D

2I-P

Text Solution

Verified by Experts

The correct Answer is:
C
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 A=((-1,0),(0,2)) then the value of A^(3)-A^(2) is equal to -

If A=[(1,0,0),(0,1,0),(0,0,1)] then A^2+2A=

If A={:[(1,2,1),(1,-1,1),(2,3,-1)]and B={:[(1,4,0),(-1,2,2),(0,0,2)], find the matrix AB - 2B.

If A={:[(1,-2,2),(0,1,-1),(0,0,1)]:} and B={:[(1,2,0),(2,3,-1),(0,-1,-2)]:}, then show that, (A'B)A is a diagonal matrix.

If A = [{:(1,0,1),(0,1,2),(0,0,4):}] , then show that |3A|=27|A|.

If A={:[(1,2,x),(0,1,0),(0,0,1)]:}, B={:[(1,-2,y),(0,1,0),(0,0,1)]:} and AB=I_(3) , then find the value of x + y + 1.

If A={:[(0,-1),(1,0)]:} and B={:[(0,i),(i,0)]:} , then

If A={:[(2,0,9),(-1,6,10),(4,-1,2)]:},B={:[(0,-1,-2),(3,2,-1),(4,-2,0)]:} and C={:[(1,-2,0),(0,1,2),(3,0,-1)]:} then show that, A(B+C) = AB + AC.

If A={:[(2,0,9),(-1,6,10),(4,-1,2)]:},B={:[(0,-1,-2),(3,2,-1),(4,-2,0)]:} and C={:[(1,-2,0),(0,1,2),(3,0,-1)]:} then show that, A(BC) = (AB)C