Evaluate the following: `([13 -1 -4]+[3 -2 -1 1])``[1 3 5 2 4 6]` (ii) `[1\ \ 2\ \ 3][1 0 2 2 0 1 0 1 2][2 4 6]` (iii) `[1-1 0 2 2 3]([1 0 2 2 0 1]-[0 1 2 1 0 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]

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

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

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=

Which of the following will come next in the following sereis? 0 9 0 1 9 0 1 2 9 0 1 2 3 9 0 1 2 3 4 9 0 1 2 3 4 5 9 0 1 2 3 4 5

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

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] .

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]]

Find the mode of 1, 0, 2, 1, 0, 2, 3, 1, 3, 1, 0, 4, 2, 4, 1 and 2.