For the matrix A, if `A^(3)=I`, then find `A^(-1)`.

If for the matrix A, A^(3)=I , then A^(-1)=

If for matrix A, A^(3)=I then A^(-1)=

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) .

A is a square matrix such that A^(3)=I , then A^(-1) is equal to -

If A is a square matrix such that A^(3) =I then the value of A^(-1) is equal to

If A is a square matrix such that A^(3) =I then the value of A^(-1) is equal to

If A=[[2,-1-1,2]] and I is the identity matrix of order 2, then show that A^(2)=4a-3I Hence find A^(-1).

If for a matrix A, A= A^(-1) , then show that A(A^(3)+I)=A+I (I is the unit matrix).

Show that the matrix A=({:(2,-3),(3,4):}) satisfies the equation A^(2)-6A+17I=O and hence find A^(-1) where I is the identity matrix and O is the null matrix of order 2 times 2 .