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

If A=[(0,2,-3),(-2,0,-1),(3,1,0)] then A is (A) diagonal matrix (B) symmetric matix (C) skew symmetric matrix (D) none of these

If A=[(1,0,0),(0,1,0),(1,b,0] then A^2 is equal is (A) unit matrix (B) null matrix (C) A (D) -A

If B is an idempotent matrix, and A=I-B , then

The matrix A=[(1, 0, 0),( 0, 2, 0),( 0, 0, 4)] is (a) identity matrix (b) symmetric matrix (c) skew-symmetric matrix (d) diagonal matrix

The matrix A=[(0,-5, 8),( 5, 0, 12),(-8,-12, 0)] is a (a) diagonal matrix (b) symmetric matrix (c) skew-symmetric matrix (d) scalar matrix

The matrix [(0,-5,8),(5,0,12),(-8,-12,0)] is a a) diagonal matrix b) symmetric matrix c) skew symmetric matrix d) scalar matrix

The matrix [(0, 5,-7),(-5, 0, 11),( 7,-11, 0)] is (a) a skew-symmetric matrix (b) a symmetric matrix (c) a diagonal matrix (d) an upper triangular matrix

Inverse of diagonal matrix is (A) a diagonal matrix (B) symmetric (C) skew symmetric (D) none of these

The matrix A=[{:(0,0,2),(0,2,0),(2,0,0):}] is: a) scalar matrix b) diagonal matrix c) square matrix d) none of these