If `A=[1-1 2 3]` , `B=[2 1 1 0]` , prove that `(A+B)^2!=A^2+2A B+B^2` .

A=[[1,-12,3]],B=[[2,11,0]], prove that (A+B)^(2)!=A^(2)+2AB+B^(2)

If A^'=[[3, 4],[ -1, 2],[ 0, 1]] and B=[[-1, 2 , 1],[ 1,2, 3]] then verify that 1) (A+B)^'=A^'+B^' 2) (A-B)^'=A^'-B^'

If A=[[-1,2,1],[-3,2,-3]] and B=[[2,1],[-3,2],[-1,3]] , prove that (A+B^T)^T=A^T+B

If A=[(1,-1),(2,-1)] , B=[(a,1),(b,-1)] . If (A+B)^2=A^2+B^2 , Prove that BA+AB=0.

If a + b = 1, a gt 0, prove that (a + (1)/(a))^(2) + (b + (1)/(b))^(2) ge (25)/(2)

If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify that (A + B)' = A' + B'

If A' = [[3,4],[-1,2],[0,1]] and B = [[-1,2,3],[1,2,3]] , then verify that (A - B)' = A' - B'

If A' = [(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)] , then porve that (A+B)' = A' + B'

If A' = [(3,4),(-1,2),(0,1)] and B = [(-1,2,1),(1,2,3)] , then porve that (A-B)' = A' - B'

If a+b=1,a >0, prove that (a+1/a)^2+(b+1/b)^2geq(25)/2dot