Find a matrix X such that
2A + B +3X = 0 where
A =`[[-1,2],[3,4]]`, B = `[[5,2],[3,5]]`

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

Find X and Y if 2X+3Y=[[2,3],[4,0]] and 3X+2Y=[[-2,2],[-1,5]]

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

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

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

Find x and y if 2[[1,3],[0,x]]+[[y,0],[1,2]]=[[5,6],[1,8]]

Let f : x to Y be a function defined by f(x) = x^2 + 1 for all x ∈ X where X = {-1,0,1,2,3} and Y = {1,2,5,10,11}. If A = { -1,0,2} and B = {1,2,3}. verify that f(A-B) =f (A) - f (B)

a) Construct a 3 xx 3 matrix A whose elements are given by a_(ij)=2 i-j b) If B=[[3 ,1 ],[ 0 , 2],[ 1, -5]] , find AB .

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]]

Find X and Y , if i) X+Y=[[7, 0],[ 2, 5]] and X-Y=[[3 , 0],[ 0 , 3]] ii) 2 X+3 Y=[[2 , 3 ],[ 4 , 0]] and 3 X+2 Y=[[2, (-2)],[ (-1) , 5]]