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]]`

Compute the products A B and B A whichever exists in each of the following cases: A=[1\ -1\ \ 2\ \ 3] and B=[[0],[ 1],[ 3],[ 2]] (ii) [a\ \ b][[c],[ d]]+[a\ \ b\ \ c\ \ d][[a],[ b],[ c],[ d]]

Show that A B!=B A in each of the following cases: A=[[1, 3,-1],[2,-1,-1],[3, 0,-1]] and B=[[-2, 3,-1],[-1, 2,-1],[-6, 9,-4]] (ii) A=[[10,-4,-1],[-1,1, 5],[0, 9,51]] and B=[[1, 2, 1],[ 3, 4, 2],[ 1, 3, 2]]

If A = [[-1, 2 ,3],[-1, 0, 2],[1, -3, 1]] and B = [[4,5,6],[-1, 0, 1], [2,1,2]], find 4A-3B

Show that A B!=B A in the following case: A=[5-1 6 7] and B=[2 1 3 4]

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

If A=[[1,2,3],[2,0,-2]],B=[[1,1,-1],[2,0,3],[3,-1,2]] and C=[[1,3],[0,2],[-1,4]] find A(BC).

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

If A=[[1,4,-1],[2,6,5]] and B=[[3,-2,-6],[2,0,-7]] , find A+B and A-B

Given A=[[sqrt(3),1,-1],[2, 3, 0]] and B=[[2, sqrt(5),1],[-2,3, 1/2]] , find A +B .

Compute the indicated products.(i) [[a, b],[-b ,a]][[a,-b],[b, a]] (ii) [[1],[ 2],[ 3]][[2, 3 ,4]] (iii) [[1,-2],[ 2 ,3]] [[1 ,2, 3],[ 2, 3 ,1]] (iv) [[2, 3 ,4 ],[3, 4 ,5],[ 4, 5, 6]][[1,-3, 5],[ 0, 2, 4],[ 3, 0, 5]] (v) [[2,1],[3,2],[-1,1]] [[1, 0, 1],[-1, 2 ,1]] (vi) [[3,-1, 3],[1,0,2]] [[2 ,-3],[ 1, 0],[ 3, 1]]