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

If A=((2,-2,-4),(-1,3,4),(1,-2,k)) is an idempotent matrix then k =

If A=((2,-2,-4),(-1,3,4),(1,-2,k)) is an idempotent matrix then find k.

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 ?

Express the matrix B=[(2,-2,-4),(-1,3,4),(1,-2,-3)] as the sum of a symmetric and a skew symmetric matrix.

Express the matrix B=[(2,-2,-4),(-1,3,4),(1,-2,-3)] as the sum of a symmetric and a skew symmetric matrix.

Express the matrix B=[(2,-2,-4),(-1,3,4),(1,-2,-3)] as the sum of a symmetric and a skew symmetric matrix.

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

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

The rank of the matrix [(1,2,3,4),(2,4,6,8),(-1,-2,-3,-4)] is