Show that matrix `B=[{:(0,3,-4),(-3,0,2),(4,-2,0):}]` is skew- symmetric matrix.

Show that matrix A=[{:(0,1,-1),(-1,0,1),(1,-1,0):}] is a skew -symmetric matrix.

For what value of x , the matrix A=[{:(0,1,-2),(-1,0,3),(x,-3,0):}] is skew -symmetric matrix ?

Show that matrix A=[{:(3,-4,2),(-4,0,6),(2,6,1):}] is a symmetric matrix.

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

If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is a skew -symmetric matrix , then find the values of a , b and c .

Write a 3xx3 skew -symmetric matrix .

Express the matrix A=[{:(2,4,-6),(7,3,5),(1,-2,4):}] as the sum of a symmetric and a skew- symmetric matrices.

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

If A=[{:(3,-4),(1,-1):}] , then show that (A-A') is a skew - symmetric matrix , where A' is the transpose of matrix A.

Express the matrix A=[{:(3,1),(5,-1):}] as the sum of a symmetric and a skew -symmetric matrices .