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

Compute the following: [[-1,4,-6],[8,5,16],[2,8,5]]+[[12,7,6],[8,0,5],[3,2,4]]

Compute the following: [[2,-1],[3,5]] +[[4,3],[1,-2]]

Compute the following: [[0,1,5],[-3,2,1]]+[[6,2,-3],[-1,4,2]]

Evaluate the following : [[1,4,2],[5,-2,3]][[2,-4],[1,-3],[4, 0]]

Solve the following: |[x+1, 3, 5], [2,x+2, 5], [2, 3,x+4]|=0

Compute the products A B and B A whichever exists in each of the following cases: A=[[1,-2],[ 2, 3]] and B=[[1, 2,3],[ 2,3, 1]] (ii) A=[[3, 2],[-1, 0],[-1, 1]] and B=[[4, 5, 6],[ 0, 1 ,2]]

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

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.

Find the rank of the matrix : [[-1,-3,3,-1],[1,1,-1,0],[2,-5,2,-3],[-1,1,0,1]]

Show that(i) [[5,-1],[ 6 ,7]][[2, 1],[ 3 ,4]]!=[[2, 1],[ 3, 4]][[5,-1],[ 6, 7]] (ii) [[1, 2, 3],[ 0, 1, 0],[ 1, 1, 0]][[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]]!=[[-1, 1, 0],[ 0,-1, 1],[ 2, 3, 4]][[1 ,2 ,3],[ 0, 1, 0],[ 1, 1, 0]]