Reduce the following quadratic form to canonical form.

I encountered next and the last problem from algebra, I hope you will be able to help me, because my books aren't enough to explain this for me :)

Reduce the following quadratic form to canonical form. Express the new variables in terms of

the old ones.

f(x, y, z) = x^2 + 4y^2 + 3z^2 + 4xy − 6xz + 4yz

Re: Reduce the following quadratic form to canonical form.

Quote:

Originally Posted by

**brianbrian** I encountered next and the last problem from algebra, I hope you will be able to help me, because my books aren't enough to explain this for me :)

Reduce the following quadratic form to canonical form. Express the new variables in terms of

the old ones.

f(x, y, z) = x^2 + 4y^2 + 3z^2 + 4xy − 6xz + 4yz

There are several ways to solve the problem, Gauss method, orthogonal diagonalization, elementary transformatios (rows and columns),... .What method have you covered?

Re: Reduce the following quadratic form to canonical form.

So this should be solved as matrix? I am familliar with gauss method.