# Help with a Matrix

There must be a simple answer to this problem but ill be damed if i can find it.

I need to find matrix P,Q,R So that PQ=QR

Ive tried so many times but i cant solve it, ive been to three different applicable maths books looking for help but they all where dead ends.

Which matrices if any are given?

Hurkyl
Staff Emeritus
Gold Member
One solution is for P, Q, and R to each be a zero matrix with the appropriate dimensions.

Well, if P,Q,R are the identity matrix then that would work, but at the moment it's not a well posed problem.

1)P and R can be any matrix of the same order as that of Q and Q must be a null matrix.
2)All the three should be identity matrices of the same order.

daniel_i_l
Gold Member
There're an infinate amount of solutions to this problem.
In addition to everything said above the equation will hold if all three matricies are powers of some matrix, or if they're scalar matricies.