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 ?

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- July 13th 2010, 08:06 AMExtractifulQuadractic forms
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 ?

- July 14th 2010, 06:11 AMHallsofIvy
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).