Home
Class 12
MATHS
If A=[(0,i),(i,0)], i^2=-1, prove that A...

If `A=[(0,i),(i,0)], i^2=-1,` prove that `A^2=[(-1,0),(0,-1)]`

Promotional Banner

Similar Questions

Explore conceptually related problems

If A = [(1,0,2),(0,2,1),(2,0,3)] , prove that A^(3) -6A^(2) + 7A + 2I = 0 .

If A=[(1,0,2),(0,2,1),(2,0,3)] , prove that A^(3)-6A^(2)+7A+2I=0

If A=[(1,0,2),(0,2,1),(2,0,3)] , prove that A^(3)-6A^(2)+7A+2I=0

If A=[(1,0,2),(0,2,1),(2,0,3)] , prove that A^(3)-6A^(2)+7A+2I=0

If A={:((4,2),(-1,1))and I={:((1,0),(0,1)), prove that, (A-2I)(A-3I)={:((0,0),(0,0)).

IF A=[[i,0],[0,-1]:}] then show that A^2=[[-1,0],[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)]