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

The matrix [(1,-3,-4),(-1,3,4),(1,-3,-4)] is

Statement - I, The matrix [(1,-3,-4),(-1,3,4),(1,-3,-4)] is a nilpotent matrix Statement - II : The matrix [(1,1,3),(5,3,4),(-2,-1,-3)] is an idempotent matrix Which of the above Statement(s) is true ?

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

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

Express the matrix A={:[(2,-3,4),(-1,4,3),(1,-2,3)]:} as the sum of a symmetric and a skew symmetric matrix

Express the matrix A={:[(2,-3,4),(-1,4,3),(1,-2,3)]:} as the sum of a symmetric and a skew symmetric matrix

The adjoint matrix of [(3,-3,4),(2,-3,4),(0,-1,1)] is

For the matrix A={:[(3,-3,4),(2,-3,4),(0,-1,1)]:}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

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