Show that the matrix `A=[(0, 1,-1),(-1,0,1),(1,-1,0)]` is a skew symmetric matrix.

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

Define a skew-symmetric matrix.

For what value of k the matrix [(2k+3,4,5),(-4,0,-6),(-5,6,-2k-3)] is a skew symmetric matrix ?

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

The inverse of the matrix [(2,5,0),(0,1,1),(-1,0,3)] is

Express matrix A= [(1,2),(2,-1)] as the sum a symmetric and 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 A is a symmetric matrix if A= [ (1,0), (0, -1)]

Express A=[(3,1),(5,-1)] as sum of symmetric and skew symmetric matrix.

For the matrix A=[(1,5),(6,7)] , verify that (i) (A+A') is a symmetric matrix (ii) (A-A') is a skew symmetric matrix