" 2.(i) "|[1,0,0],[0,1,0],[0,0,1]|

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

Let A=[[1 ,0 ,0], [0 ,1 ,1] ,[0,-2, 4]],I=[[1 ,0 ,0 ],[0, 1, 0], [0, 0, 1]] and A^(-1)=[1/6(A^2+c A+d I)]dot Then value of c and d are

If P=[(i,0,-i),(0,-i,i),(-i,i,0)] and Q=[(-i,i),(0,0),(i,-i)] then PQ is equal to (A) [(-2,2),(1,-1),(1,-1)] (B) [(2,-2),(-1,-1),(-1,1)] (C) [(2,2),(-1,1)] (D) [(1,0,0),(0,1,0),(0,0,1)]

If P=[(i,0,-i),(0,-i,i),(-i,i,0)] and Q=[(-i,i),(0,0),(i,-i)] then PQ is equal to (A) [(-2,2),(1,-1),(1,-1)] (B) [(2,-2),(-1,1),(-1,1)] (C) [(2,2),(-1,1)] (D) [(1,0,0),(0,1,0),(0,0,1)]

The inverse of the matrix [(0,0,1),(0,1,0),(1,0,0)] is (A) [(0,0,1),(0,1,0),(1,0,0)] (B) [(0,0,-1),(0,-1,0),(-1,0,0)] (C) [(1,0,0),(0,1,0),(0,0,1)] (D) [(1/2,0,0),(0,1/2,0),(0,0,1/2)]

The inverse of the matrix [(0,0,1),(0,1,0),(1,0,0)] is (A) [(0,0,1),(0,1,0),(1,0,0)] (B) [(0,0,-1),(0,-1,0),(-1,0,0)] (C) [(1,0,0),(0,1,0),(0,0,1)] (D) [(1/2,0,0),(0,1/2,0),(0,0,1/2)]

A=[(1,0,0),(0,1,1),(0,2,4)]; I=[(1,0,0),(0,1,0),(0,0,1)],A^-1=1/6[A^2+cA+dI], where c,d in R, then pair of values (c,d)

(i) {:[( 1,0,0),( 0,1,0),( 0,0,1) ]:}" "(ii) {:[( 1,0,4),(3,5,-1),( 0,1,2) ]:}

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

Write Minors and Cofactors of the elements of following determinants: (i) |(1, 0, 0),( 0, 1, 0),( 0, 0, 1)| (ii) |(1, 0, 4),( 3, 5,-1),( 0, 1, 2)|