Home
Class 12
MATHS
If A = [(1,-1,1),(2,-1,0),(1,0,0)] find ...

If A = `[(1,-1,1),(2,-1,0),(1,0,0)]` find `A^(2)` and show that `A^(2) = A^(-1)`.

Text Solution

Verified by Experts

The correct Answer is:
`=[(1,2,3),(-2,-4,-5),(3,5,6)]`
Promotional Banner

Topper's Solved these Questions

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

    CHHAYA PUBLICATION|Exercise MULTIPLE CHOICE TYPE QUESTIONS|9 Videos
  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|38 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos

Similar Questions

Explore conceptually related problems

If B [(1,-1,1),(2,-1,0),(1,0,0)] ,does B^(-1) exist?

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

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

Find A^(-1) if A=|(0,1,1),(1,0,1),(1,1,0)| and show that A^(-1)=(A^(2)-3I)/2

If A=[(1,1,-1),(2,0,3),(3,-1,2)],B=[(1,3),(0,2),(-1,4)] and C=[(1,2,3,-4),(2,0,-2,1)] , find A(BC), (AB)C and show that (AB)C=A(BC) .

If A = ((3,1),(-1,2)), I = ((1,0),(0,1)) and O = ((0,0),(0,0)) show that, A^(2) - 5A + 7I = O . Hence find A^(-1) .

If A={:[(1,0),(-1,7)] and I={:[(1,0),(0,1)] , then find k so that A^(2)=8A+kI

A= {:[( 1,-1,2),( 3,0,-2),( 1,0,3) ]:} find determinant of A

If A=[(1,2,3),(3,-2,1),(4,2,1)] , then show that A^(3)-23A-40I=0

If A'=[(-2,3),(1,2)] and B=[(-1,0),(1,2)] then find (A+2B)'