Select the correct option from the given...

Select the correct option from the given alternatives. If for the matrix A, `A^3 = I` then `A^-1 = ` i] `A^2` ii] `A^3` iii] `A` iv] `A^-1`

A

`A^(2)`

B

`A^(3)`

C

A

D

None of these

Verified by Experts

The correct Answer is:

a

Similar Questions

Explore conceptually related problems

Select the correct options from the given alternatives.Which of the following is correct

Select the correct option from the given alternatives.If A is a non-singular matrix such that A^2-A+1 = 0 , then A^-1 =

Select the correct option from the given alternatives.If for any 2xx2 matrix A, if A(adjA) = [[10,0],[0,10]] then abs(A) = i] 0 ii] 10 iii] 20 iv]100

Select the correct option from the given alternatives: If A = [[3,-3,4],[2,-3,4],[0,-1,1]] then A^-1 = i] A ii] A^2 iii] A^3 iv] A^4