Determine the matrix that reduces, i.e. transforms, the following quadratic form to its standard form. Use this reduction to determine if the quadratic form is positive definite or not, and determine what shape it makes.
3/2x2 1−x1x3+x2 2+3/2x23
![Determine the matrix that reduces ie transforms the following quadratic form to its standard form Use this reduction to determine if the quadratic form is posit class=](https://us-static.z-dn.net/files/de3/fc0e7cb91b20333da2dab472f9eeaeee.png)