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

Show that the matrix [{:( 1,1,3),( 5,2,6),( -2,-1,-3):}] is nilpotent matrix of index 3.

If ([2,4],[-1,k]) is nil potent matrix of index 2 than k=

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

show that [(1,1,3),(5,2,6),(-2,-1,-3)]=A is nipotent matrix of order 3.

If A=[(1,1,2),(5,2,6),(-2,-1,-3)] then A is (A) nilpotent (B) idempotent (C) symmetric (D) none of these

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

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

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

If A=[[2-k,2],[1,3-k]] is a singular matrix,then find the value of 5k-k^(2) .