If `A=[[-2,1],[1,-2]]`and `B=[[4],[5]]`and `AX=B`,find X

If A=[[-1,2],[4,-3],[5,6]] and B=[[0,3,5],[4,2,6]] find AB and BA.

If A = [[5,2],[-1,6] and B = [[0,1],[0,1]] then find the matrices X and Y such that XA= B and AY =B .

Solve the following: A=[[2,3,1],[-1,-1,0]], B=[[-4,3,1],[5,7,8]] Find A+B

If A=[[1,2],[-1,-2]],B=[[2,a],[-1,b]] and (A+B)^2=A^2-B^2 .Find values of a and b.

If A=[[1,-2],[3,-5][-6,0]],B=[-1,-2],[4,2],[1,5]] and C=[[2,4],[-1,-4],[-3,6]] ,then find the matrix X such that 3A-4B+5X=C

If A=[[3,0],[-3,1],[4,1]],B=[[1,0],[-2,1],[7,2]] and C=[[5,7],[1,0],[2,5]] .Find the matrix x such that 2A-3B+4x=C

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A+B)'=A'+B'

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A-B)'=A'-B'

Answer the following questions.If A=[[-3,2],[2,-4]],B=[[1,x],[y,0]] and (A+B).(A-B)=A^2-B^2 ,find x and y.

If A=[[7,3,0],[0,4,-2]],B=[[0,-2,3],[2,1,-4]] ,then find 5A^T-5B^T