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

Given A=[[1,-1, 0], [2, 3, 4], [0, 1, 2]], B= [[2,2,-4],[-4,2,-4],[2,-1,5]] find AB and use this to solve the system of equations: y+2x=7,x-y=3,2x+3y+4z=17

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

If [ [ 1 , 2 ] , [ -2 , -b ] ] + [ [ a , 4 ] , [ 3 , 2 ] ] = [ [ 5 , 6 ] , [ 1 , 0] ] , then a^2 + b^2

Evaluate the product AB , where A=[(1,-1,0),(2,3,4),(0,1,2)] and B=[(2,2,-4 ),(-4,2,-4),(2,-1,5 )] hence solve the system of linear equations x-y=3 2x +3y +4z =17 y+2z =7

Find the matrices A and B such that A+B=[[1,0,2] , [2,2,2] , [1,1,2]] and A-B=[[1,4,4] , [4,3,0] , [-1,-1,2]]

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

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

Show that |A|=|B| where A=[[1,-3,2],[2,3,-1],[0,5,-4]] and B=[[1,2,0],[-3,3,5],[2,-1,-4]]

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=

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]]