If A and B are non-zero square matrices of same order such that `AB=A` and` BA=B`, then prove that `A^2=A` and `B^2=B`

Similar Questions

Explore conceptually related problems

If A and B are non zero square matrices of order 3, then

If A and B are square matrices of the same order such that AB = A and BA = B, then……

If A and B arę square matrices of same order such that AB = A and BA = B, then

If the square matrices A and B are such that AB=A and BA=B, then

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

If A and B are two square matrices of the same order , then AB=Ba.

If A and B are two square matrices of the same order, then AB=BA .

If A and B are square matrices of the same order such that B=-A^(-1)BA, then (A+B)^(2)

If A and B are square matrices of the same order such that A^(2)=A,B^(2)=B,AB=BA=0 , then__

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)