If for the matrix A, `A^(5)=I`, then `A^(-1)=`

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

If A is a non-singular square matrix such that A^(2)-7A+5I=0, then A^(-1)

If A is a square matrix satisfying the equation A^(2)-4A-5I=0 , then A^(-1)=

If the matrix A={:[(5,-3),(5,-3)]:}," then "A^(n+1) = ________ .

If A is non-singular matrix and (A+I)(A-I) = 0 then A+A^(-1)= . . .

For a matrix A, if A^(2)=A and B=I-A then AB+BA +I-(I-A)^(2) is equal to (where, I is the identity matrix of the same order of matrix A)

If a matrix A is such that 3A^(3)+2A^(2)+5A+I=0, then A^(-1) is equal to

If for a matrix A,A^2+I=0, where I is an identity matrix then A equals (A) [(1,0),(0,1)] (B) [(-1,0),(0,-1)] (C) [(1,2),(-1,1)] (D) [(-i,0),(0,-i)]

If A is a square matrix such that A^(2)=1 then (A-I)^(3)+(A+I)^(3)-7A is equal to

" 1.If "B" is an idempotent matrix and "A=I-B" then "AB=