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

A = [(1,2,3),(1,2,3),(-1,-2,-3)] then A is a nilpotent matrix of index

show that the matrix A=[(2,-2,-4),(-1,3,4),(1,-2,-3)] is idempotent.

A=[[1,1,3],[5,2,6],[-2,-1,-3]] is a nilpotent matrix of index K .Then K=

If A^2 = I, then matrix A is Orthogonal matrix Idempotent matrix Involutory matrix Nilpotent matrix

" If matrix "A=[[1,1,3],[1,3,-3],[-2,-4,-4]]" then find "A^(-1)

The matrix A=[(-5,-8,0),(3,5,0),(1,2,-1)] is (A) idempotent matrix (B) involutory matrix (C) nilpotent matrix (D) none of these

[" 64.Let "A=[[0,-sqrt((2)/(3)),(1)/(sqrt(3))],[(1)/(sqrt(2)),-(1)/(sqrt(6)),-(1)/(sqrt(3))],[(1)/(sqrt(2)),(1)/(sqrt(6)),(1)/(sqrt(3))]]" ,then which one of "],[" the following is correct? "],[" (1) "A" is an involutory matrix "],[" (2) "A" is an idempotent matrix "],[" (3) "A" is an orthogonal matrix "],[" (4) "A" is a singular matrix "]

If [(1,2,3)]B=[(3,4)] then the order of the matrix B is

[[2,3,5],[4,1,2],[1,2,1]]=P+Q , where P is a symmetric matrix and Q is a skew symmetric matrix then Q=