suppose i'm asked to find the associated bilinear form for the quadratic form wonder if i first need to find the associated matrix to this quadratic form, then in order to get the associated bilinear form i'd do ?
There are a number of different ways to write a matrix representing a quadratic form- the standard way is to use a symmetric matrix.
You want for all , , and .
Multiply the left side and set it equal to the right. it should be easy to determine a, b, c, d, e, and f (most of them will be 0).