Given `A=[[sqrt3 , 1 , -1], [2 , 3 , 0]]`and `B=[[[2 , sqrt5 , 1,]] , [[-2, 3 , 1/2]]] `, find `A+B`

If A=[[1 , 2, 3],[ 2, 3 , 1]] and B=[[3, -1, 3],[ -1, 0, 2]] , then find 2 A-B .

If A^'=[[-2, 3],[ 1, 2]] and B=[[-1, 0],[ 1, 2]] , then find (A+2 B)^'

If A=[[1 ,-2 , 3],[ -4, 2 ,5]] and B=[[2 , 3],[ 4, 5], [2 , 1]] , then find A B, B A . Show that AB ne BA .

If A=[[3 ,sqrt3, 2],[ 4 , 2, 0]] and B=[[2 , (-1), 2],[ 1, 2, 4]] , verify that i. (A^')^'=A ii. (A+B)^'=A^'+B^' iii. (k B)^'=k B^' , where k is any constant.

If A=[[-1, 2, 3],[ 5, 7, 9],[ -2, 1 , 1]] and B=[[-4 , 1, -5],[ 1, 2, 0],[ 1, 3, 1]] then verify that (i) (A+B)^'=A^'+B^'

A=[[2,3],[4,5],[2,1]] B=[[1,-2,3],[-4,2,5]] Find AB

If A =[[1, 2, -3],[ 5, 0, 2],[ 1, -1, 1]], B=[[3, -1, 2],[ 4, 2, 5],[ 2, 0, 3]] and C=[[4 ,1 , 2],[ 0, 3, 2],[ 1, -2, 3]] then compute (A+B) and (B-C) . Also verify that A+(B-C)=(A+B)-C

Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Find AB

Let A=[[1,2],[3,4]] , B=[[2,1],[4,5]] , C=[[1,-1],[0,2]] Find A+B and 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]]