Q7Which of the following is a symmetric as well as skew-symmetric matrix : (a) `[[1,2],[1,0]]`
(b)` [[0,0],[0,0]]`
(c) `[[1,0],[0,1]]`

.Find x ,if the following matrix is a skew symmetric matrix [[0,4,-2],[-4,0,8],[2,-8,x]]

Which of the following matrices is symmetric? (A) [[-1,2,-2],[-2,1,2],[2,2,1]] (b) [[1,0,2],[0,1,0],[0,0,5]] (C) [[1,2],[3,6]] (D) none of these

Show that the following matrices are skew symmetric: [[0,1,-1],[-1,0,1],[1,-1,0]]

Express the following as the sum of symmetric and skew - symmetric matrices : [(1,2,-3),(7,0,5),(-4,8,9)]

Express the following as the sum of symmetric and skew - symmetric matrices : [(3,3,-1),(0,-2,1),(-4,-5,2)]

Construct an orthogonal matrix using the skew- symmetric matrix A=[[0,2],[-2,0]].

Which of the following is (are) NOT the square of a 3xx3 matrix with real entries? (a)[[1, 0, 0],[ 0, 1, 0],[ 0, 0,-1]] (b) [[-1, 0, 0] ,[0,-1, 0],[ 0, 0, -1]] (c)[[1, 0, 0],[ 0, 1, 0],[ 0, 0, 1]] (d) [[1, 0, 0],[ 0,-1, 0],[ 0, 0,-1]]

Show that the following matrices are skew symmetric: [[0,e,f],[-e,0,g],[-f,-f,0]]

Which one of the following is correct in respect of the matrix ? [{:(0,0,-1),(0,-1,0),(-1,0,0):}] ?

A is a real skew symmetric such that A^(2)+I=0 then