If the matrix `A=[(1,-1),(1,-2)]` satisfies the equation `A^n = 5I-8A` then n is equal to

show that matrix A = [(3,4),(1,2)] satisfies the equation A^2-5A+2I=0

If the matrix A = [(1,2),(3,4)] satisfies the equation A^(2) = 5A + 2I . Then, find the value of A^-1 .

If (1-i)^n = 2^n , then n is equal to

Show that the matrix A = [(2,3),(1,2)] satisfies the equations A^2 - 4A +I = O . Hence find A^-1

Show that the matrix A=[{:(2,3),(1,2):}] satisfies the equation A^(2)-4A+I=O and hence, find A^(-1) .

Show that, the matrix A = [(1,2,2),(2,1,2),(2,2,1)] satisfies the equation A^(2) - 4A - 5I_(3) = 0 and hence find A^(-1) .

If X=[{:(3,-4),(1,-1):}],B=[{:(5,2),(-2,1):}]and A=[{:(p,q),(r,s):}] satisfy the equation AX = B, then the matrix A is equal to

Show that the matrix A=[122212221] satisfies the equation A^(2)-4A-5I_(3)=O and hence find A^(-1) .