If `A=[[2,-2,-4],[-1,3,4],[1,-2,-3]]` then `A^2` is

If A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] then A is 1) an idempotent matrix 2) nilpotent matrix 3) involutary 4) orthogonal matrix

If A=[[2,-2,-4],[-1,3,4],[1,-2,-3]] then A is 1) an idempotent matrix 2) nilpotent matrix 3) involutary 4) orthogonal matrix

" 1.If "P=[[2,-2,-4],[-1,3,4],[1,-2,-3]]" then show that,"P^(2)=P" ."

" .If "P=[[2,-2,-4],[-1,3,4],[1,-2,-3]]" then show that,"P^(2)=P

If A=[{:(2,-2,-4),(-1," "3," "4),(1,-2,-3):}], show that A^(2)=A.

If A = [(2,2,1), (1,3,1), (1,2,2)] then A^-1+(A-5I) (AI)^2 = (i) 1/ 5 [[4,2, -1], [-1,3,1], [-1,2,4]] (ii) 1/5 [[4, -2, -1], [-1, 3, -1], [-1, -2,4]] (iii) 1/3 [[4,2, -1], [-1,3,1], [-1,2,4]] (iv) 1/3 [[4, -2, -1], [-1,3, -1], [-1, -2,4]]

The matrix A = [{:(2 , -2, -4),(- 1, 3, 4),(1 , - 2, -3):}] is

Find the rank of matrix [ [1,1,-3,2],[2,-1,2,-3],[3,-2,1,-4],[-4,1,-3,1] ]

(b) Find the rank of the matrix A= [[1,2,1,2],[1,3,2,2],[2,4,3,4],[3,7,4,6]]