Home
Class 12
MATHS
If A=({:(2,-1),(-1,2):}) " and " A^(2)-4...

If `A=({:(2,-1),(-1,2):}) " and " A^(2)-4A+3I=0` where I is the unit matrix of order 2, then find `A^(-1)`.

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2012|4 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2013|5 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2015|7 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 = ([2,-1],[-1,2]) and A^2-4A+3I = 0 , where I is the unit matric or order 2, then find A^(-1) .

If A = [(2,2),(4,3)] show that, A A^(-1) =I_(2) wher I_(2) is the unit matrix of order 2.

If A = [[2,2],[4,3]] show that A A^(-1) = I_2 where I_2 is the unit matrix of order 2.

If A = [(4,1),(7,2)] find a matrix B such that AB = I where I is the unit matrix of order 2.

If A=((2,-1),(-1,2)) and I is the unit matrix of order 2, then A^(2) is equal to -

If A = [[4,5],[5,6]] , show that A^2 = 10A + I where I is the unit matrix of order 2.

If A = [(4,5),(5,6)] show that, A^(2) = 10A + I where I is the unit matrix or order 2. Hence, find the inverse of A.

If A={:((3,2),(3,3))and B={:((1,-2/3),(-1,1)) show that AB=I_(2) where I_(2) is the unit matrix of order 2.

If A={:[(1,x,-2),(2,2,4),(0,0,2)]:} and A^(2)+2I_(3)=3A find x, here I_(3) is the unit matrix of order 3.

If A = ([3,1],[7,5]) and A^2 = -xl+yA . Find x and y where I is a unit matric of order 2.