show that the matrix
`A=[(-5,-8,0),(3,5,0),(1,2,-1)]` is involutory.

The matrix [(0,-5,8),(5,0,12),(-8,-12,0)] is a

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

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 [{:(0,-5,8),(5,0,12),(-8,-12,0):}] is a

(i) Show that the matrix A=[(1,-1,5),(-1,2,1),(5,1,3)] is a symmetric matrix. Show that the matrix A=[(0,1,-1),(-1,0,1),(1,-1,0)] is a skew symmetric matrix

Show that the matrix [{:(3,1,4),(2,0,-1),(5,2,1):}] is non-singular and reduce it to the identiy matrix by elementary row transformations.

(i) Show that the matrix A=[{:(1,-1,5),(-1,2,1),(5,1,3):}] is a symmetric matrix. (ii) Show that the matrix A-[{:(0 ,1,-1),(-1, 2, 1),( 1,-1, 0):}] is a skew symmetric matrix.