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

If A={1,2} and B={2,3} , then show that: AxxB ne B xxA

If A=[[0,-xx,0]],B=[[0,11,0]] and x^(2)=-1, then show that (A+B)^(2)=A^(2)+B^(2)

If A=[[0,-xx,0]],B=[[0,11,0]] and x^(2)=-1, then show that (A+B)^(2)=A^(2)+B^(2)

If a,b,c are in G.P., then show that a(b-c)^2=c(a-b)^2

A and B are two matrices of same order such that AB=A and BA=B. Show that A^(2)+B^(2)=A+B

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

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

In an acute triangle ABC if sides a,b are constants and the base angles A and B vary, then show that (dA)/(sqrt(a^(2)-b^(2)sin^(2)A))=(dB)/(sqrt(b^(2)-a^(2)sin^(2)B))

If a,b,c,d………are in G.P., then show that (a+b)^2, (b+c)^2, (c+d)^2 are in G.P.

If a,b,c,d………are in G.P., then show that (a-b)^2, (b-c)^2, (c-d)^2 are in G.P.