Find the most general form of the matrixPifPQ=QP, whereQis .

If the non-zero column vectorsxandyare such theQx=xandQy=6y, obtain the particular matrixPsuch thatPQ=QP,Px=-x,Py=4y.

I have found the most general form ofPto be

I namedxandyas and respectively. Then I foundQxandQy

they are and respectively.

so i get the equations:

__1

__2

which simplify to and

Sox=

andy=

Now I don't know what to do next.

Thanks!