Home
Class 12
MATHS
If A={:[(1,x,-2),(2,2,4),(0,0,2)]:}and A...

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.

Text Solution

Verified by Experts

The correct Answer is:
x = 0
Promotional Banner

Similar Questions

Explore conceptually related problems

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

If A = ([3,1],[7,5]) and A^2 = -xl+yA . Find x and y where I is a unit matric 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 X={:[(1,-3,-4),(-1,3,4),(1,-3,-4)], show that, X^(2)=0 where 0 is the null matrix of order 3xx3.

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+I_(3)={:[(1,3,4),(-1,1,3),(-2,-3,1)]:}, evaluate (A+I_(3))(A-I_(3)), where I_(3) represents 3xx3 unit matrix.

If A={:[(2,-1),(3,2)]:} and B={:[(0,4),(-1,7)]:}, find 3A^(2)-2B+I