Home
Class 12
MATHS
If A=[4 2-1 1] , prove that (A-2I)(A-3I)...

If `A=[4 2-1 1]` , prove that `(A-2I)(A-3I)=O` .

Promotional Banner

Similar Questions

Explore conceptually related problems

If A=[42-11], prove that (A-2I)(A-3I)=O

If A = [(4,2),(-1,1)] and I = [(1,0),( 0,1)] prove that (A - 2I) (A - 3I) = 0

If A={:((4,2),(-1,1))and I={:((1,0),(0,1)), prove that, (A-2I)(A-3I)={:((0,0),(0,0)).

If A=[(1, 2 ,2 ),(2 ,1 ,2),( 2 ,2, 1)] , then prove that A^2-4A-5I=O .

If A=[3-24-2] and I=[1001], then prove that A^(2)-A+2I=O

If A={:[(4,2),(-1,1)]:} then (A-2I)(A-3I) is equal to__

If A=[122212221], find A^(-1) and prove that A^(2)-4A-5I=O

If A=[1 2 2 2 1 2 2 2 1] , find A^(-1) and prove that A^2-4A-5I=O .

If A=[(5,2),(-1,2)] and I=[(1,0),(0,1)] show that : (A-3I)(A-4I)=O

If A=[[3,1],[-1,2]] prove that A^2-5A+7I=O ,where I is unit matrix of order 2.