Show that
`[[5,-1],[6,7]] [[2,1],[3,4]]` `ne` `[[2,1],[3,4]] [[5,-1],[6,7]]`

Show that i) [[5 , (-1)],[ 6, 7]][[2, 1],[ 3 ,4]] ne[[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]] ne[[(-1), 1, 0],[ 0, (-1), 1],[ 2, 3, 4]] [[1 , 2, 3],[ 0, 1, 0],[ 1, 1, 0]] .

Let A=[[3,6,5],[6,7,8]] and C=[[1,2,-3],[4,5,6]] Find 2A

Let A=[[1,2,-3],[2,1,-1]] B=[[2,3],[5,4],[1,6]] Find AB .

For the matrices A=[[-1, 2],[ 3, 4]] and B=[[2, 5],[ 3, 6]] , verify that (AB)^(-1)=B^(-1) A^-1?

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

find the value of x and y from the equations a[[x,5],[7,y-3]]+[[3,-4],[1,2]]=[[7,6],[15,14]]

If A=[[2/3, 1,5/3],[1/3, 2/3, 4/3],[7/3, 2, 2/3]] and B=[[2/5, 3/5, 1],[1/5, 2/5, 4/5],[7/5, 6/5, 2/5]] then compute 3A-5B

Find the matrix X so that X[[1 , 2, 3],[ 4, 5, 6]]=[[-7, -8, -9],[ 2, 4, 6]]

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 .

Show that the points (2,3,4), (-1,-2,1), (5,8,7) are colinear