If `A B=A` and `B A=B` , then show that `A^2=A` , `B^2=B` .

If AB=A and BA=B, then show that A^(2)=A,B^(2)=B

If A and B are square matrices of the same order such that A B=B A , then show that (A+B)^2=A^2+2A B+B^2 .

If A and B are square matrices of the same order such that A B=B A , then show that (A+B)^2=a^2+2A B+B^2

If A and B are square matrices of the same order such that A B=B A , then show that (A+B)^2=A^2+2A B+B^2

IfAand B are two square matrices such that B = -A^(-1)BA then show that (A + B)^2= A^2 + B^2 .

If a, b, c are in A.P, then show that: \ b c-a^2,\ c a-b^2,\ a b-c^2 are in A.P.

If a/b=b/c and a,b,c>0 then show that, (a^2+b^2)/(ab)=(a+c)/b

If a/b prop (a+b) and b/a prop (a-b) , then show that a^2 -b^2 = constant.

If a/b=b/c and a,b,c>0 then show that, (a^2+b^2)(b^2+c^2)=(ab+bc)^2

If 2 (a ^(2) + b ^(2)) = (a+b)^(2), then show that a =b