Let matrix `A=[[1,0,0],[1,0,1],[0,1,0]]` then the value of `|A^(2012)-I|` is equal to

The matrix A= [[0,1],[1,0]] is

Let A=[[2,2],[9,4]] and I=[[1,0],[0,1]] then value of 10 A^(-1) is-

If A=[(1,0,0),(0,1,0),(3,4,-1)] and A^(n)=l , then value of n is equal to

The matrix [(1,0,0),(0,2,0),(0,0,4)] is a

The inverse of matrix A=[[0,1,01,0,00,0,1]] is

i) Find the rank of the matrix [[1,0,0],[1,0,0],[0,0,1]]

Let A = [[1,0,0],[1,0,1], [0,1,0]] " satisfies " A^(n) = A^(n-2) + A^(2 ) -I for nge 3 and consider matrix underset(3xx3)(U) with its columns as U_(1), U_(2), U_(3), such that A^(50)U_(1)=[[1],[25],[25]],A^(50) U_(2)=[[0],[1],[0]]and A^(50) U_(3)[[0],[0],[1]] The value of abs(A^(50)) equals

Let A = [[1,0,0],[1,0,1], [0,1,0]] " satisfies " A^(n) = A^(n-2) + A^(2 ) -I for nge 3 and consider matrix underset(3xx3)(U) with its columns as U_(1), U_(2), U_(3), such that A^(50)U_(1)=[[1],[25],[25]],A^(50) U_(2)=[[0],[1],[0]]and A^(50) U_(3)[[0],[0],[1]] The value of abs(U) equals

Let A = [[1,0,0],[1,0,1], [0,1,0]] " satisfies " A^(n) = A^(n-2) + A^(2 ) -I for nge 3 and consider matrix underset(3xx3)(U) with its columns as U_(1), U_(2), U_(3), such that A^(50)U_(1)=[[1],[25],[25]],A^(50) U_(2)=[[0],[1],[0]]and A^(50) U_(3)[[0],[0],[1]] Trace of A^(50) equals