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]`

Show that A B!=B A in each of the following cases: A=[5-1 6 7] and B=[2 1 3 4] (ii) A=[-1 1 0 0-1 1 2 3 4] and B=[1 2 3 0 1 0 1 1 0] (iii) A=[1 3 0 1 1 0 4 1 0] and B=[0 1 0 1 0 0 0 5 1]

Compute AB and BA, whichever exists when (i) A=[{:(2,-1),(3," "0),(-1," "4):}]" and "B=[{:(-2,3),(0,4):}] (ii) A=[{:(-1,1),(-2,2),(-3,3):}]" and "B=[{:(" "3,-2," "1),(" "0," "1," "2),(-3," "4,-5):}] (iii) A=[{:(0,1,-5),(2,4," "0):}]" and "B=[{:(1,3),(-1,0),(0,5):}] (iv) A=[1" "2" "3" "4]" and "B=[{:(1),(2),(3),(4):}] (v) A=[{:(2,1),(3,2),(-1,1):}]" and "B=[{:(1,0,1),(-1,2,1):}]

If A^(-1)=[3-1 1-15 6-5 5-2 2] and B=[1 2-2-1 3 0 0-2 1] , find (A B)^(-1) .

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

For the following matrices verify the associativity of matrix multiplication i.e. (A B)C=A(B C)dot A=[1 2 0-1 0 1] , B=[1 0-1 2 0 3] and C=[1-1] (ii) A=[4 2 3 1 1 2 3 0 1] , B=[1-1 1 0 1 2 2-1 1] and C=[1 2-1 3 0 1 0 0 1] .

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

1.If A= 1 -2 4 1 2 3 0 1 3 B= 2 -1 5 1 -2 2 0 2 -4 and C= 1 2 3 1 1 2 2 0 1 then A+B-C=

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]]

For each of the following pairs of matrices A and B, verify that (AB)'=(B'A'): (i) A=[{:(1,3),(2,4):}]" and "B=[{:(1,4),(2,5):}] (ii) A=[{:(3,-1),(-2,-2):}]" and "B=[{:(1,-3),(2,-1):}] A=[{:(-1),(2),(3):}]" and "B=[-2" "-1" "-4] (iv) A=[{:(-1," "2,-3),(4,-5," "6):}]" and "B=[{:(" "3,-4),(" "2," "1),(-1," "0):}]

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