Home
Class 12
MATHS
If A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] th...

If `A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}]` then show that `A^3-3A^2-A-3I=O`, where I is unit matrix of order 3

Promotional Banner

Similar Questions

Explore conceptually related problems

IF A=[{:(1,-2,1),(0,1,-1),(3,-1,1):}] then show that A^3-3A^2-A-31=O

If A=[(1, -2, 1),(0, 1 ,-1),(3, -1, 1)] then find A^(3)-3A^(2)-A-3I where I is unit matrix of order 3.

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

If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] , then show that A^(3)-23A-40I=O .

If A=[{:(1,0,-1),(2,1,3),(0,1, 1):}] then verify that A^(2)+A=A(A+I) , where I is 3xx3 unit matrix.

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

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

If A=[{:(1,0,-1),(2,1,3),(0,1,1):}] , then verify that A^(2)+A=A(A+I) where I is 3xx3 unit matrix.

If A=[{:(,2,-1),(,-1, 3):}]" evaluate "A^2-3A+3I , where I is a unit matrix of order 2.