I really suck at proofs and I have this due tomorrow...any help would be appreciated. It doesn't count toward any points but I need to turn it in for credit
Definition: (1.3) Conics in . A conic in is a plane curve given by the quadratic equation
Here is my question:
Prove the statement in (1.3) that an affine transformation can be used to put any conic of into one of the standard forms (a-1). (Hint: use a linear transformation to take the leading term into one of or or ; then complete the square in and to get rid of as much of the linear part as possible.
Thank you for your time and consideration. I will be up for awhile tonight to answer any questions and try to figure this out!