Find the most general form of the matrix P if PQ=QP, where Q is .
If the non-zero column vectors x and y are such the Qx=x and Qy=6y, obtain the particular matrix P such that PQ=QP, Px=-x, Py=4y.
I have found the most general form of P to be
I named x and y as and respectively. Then I found Qx and Qy
they are and respectively.
so i get the equations:
__1
__2
which simplify to and
So x=
and y=
Now I don't know what to do next.
Thanks!