The matrix `[[1,2,3],[1,2,3],[-1,-2,-3]]`
A.independent
B. nilpotent.
C. involuntary.
D. orthogonal.

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

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

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

The matrix A=1/3{:[(1,2,2),(2,1,-2),(-2,2,-1)]:} is 1) orthogonal 2) involutory 3) idempotent 4) nilpotent

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

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

In which of the following type of matrix inverse does not exist always? a. idempotent b. orthogonal c. involuntary d. none of these

In which of the following type of matrix inverse does not exist always? a. idempotent b. orthogonal c. involuntary d. none of these

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