Show that the matrix `[[1,-15],[-1,2,1],[5,1,3]]` is symmetric.

Show that the matrix [[1,-1,5],[-1,2,1],[5,1,3]] is symmetric.

(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

(i) Show that the matrix A=[1-15-121513] is a symmetric matrix.(ii) Show that the matrix A=[01-1-1211-10] is a skew symmetric matrix.

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

If the matrix A = [[0,a,-3],[2,0,-1],[b,1,0]] is skew symmetric, find the value of 'a' and 'b'.

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

find matrix 2[[2,3-1,5]]+[[1,23,4]]

Is the matrix A=[[0,-1,2],[1,0,-3],[-2,3,0]]. symmetric or skew symmetric? Give reasons

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

if A=[[-1,2,32,5,63,x,7]] is a symmetric matrix