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

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]]

Compute the adjoint of each of the following matrices: [[1, 2, 2],[ 2 ,1 ,2],[ 2, 2, 1]] (ii) [[1, 2, 5],[ 2, 3,1],[-1, 1, 1]] (iii) [[2,-1, 3],[ 4, 2, 5],[ 0, 4,-1]] (iv) [[2, 0,-1],[ 5, 1, 0],[ 1, 1, 3]] Verify that (a d j\ A)A=|A|I=A(a d j\ A) for the above matrices.

Evaluate : [[1,3,5]][[1,0,3],[2,0,1],[0,1,2]][[1],[4],[6]]

Find the inverse of each of the following matrices : {:((1,5,2),(0,-1,2),(0,0,1)):}

Evaluate the following : [[1,-1],[0,2],[2,3]]([[1,0,2],[2,0,1]]-[[0,1,3],[1,0,2]])

A=[[3, 2, 6], [1, 1, 2], [2, 2, 5]], B=[[1, 2, -2], [-1, 3, 0], [0, -2, 1]] , then

Find the matrices A and B such that A+B=[[1,0,2] , [2,2,2] , [1,1,2]] and A-B=[[1,4,4] , [4,3,0] , [-1,-1,2]]

Compute the following: [[2,3,1],[5,-1,2],[0,3,5]]+[[1,-2,3],[-3,1,5],[6,2,0]]

" Evaluate the following: "[[1,2,3]][[1,0,2],[2,0,1],[0,1,2]][[2],[4],[6]]

Given A=[[1,2,-3],[5,0,2],[1,-1,1]] and B=[[3,-1,2],[4,2,5],[2,0,3]] , find the matrix C such that A+C=B.