Homework Statement
Consider the intersection,R, between two circles : x2+y2=2 and (x-2)2+y2=2
a) Find a 2-Dimensional vector field F=(M(x,y),N(x,y)) such that ∂N/∂x - ∂M/∂y=1
Homework Equations
none.
The Attempt at a Solution
There are other parts to the main question but I don't think I will...
I suppose not :P Thanks :)
Ok I understand properly now. In the beginning when I was going over this problem I thought that I must remove the a's but I didnt want to remove them 'just because'. I wanted to know that what I was doing was actually correct, even if my reasoning was a bit off the...
Just to check, my matrix is correct?
As per your direction, a0 goes to 2a0 + 4a0x +0x2 which I make into a column like the matrix I put it already?
Thanks Tim :) I thought of leaving the a's out, but what of their importance? Are they just to show what each constant of the basis is mapped into?
Homework Statement
Let T:P2→P2 be defined by
T(a0+a1x+a2x2)=(2a0-a1+3a2)+(4a0-5a1)x + (a1+2a2)x2
1) Find the eigenvalues of T
2) Find the bases for the eigenspaces of T.
I believe the 'a' values are constants.
Homework Equations
None.
The Attempt at a Solution
The problem I am...