# Quadratic form

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(Redirected from Quadratic forms)

**Quadratic form** is a function expressed as a multivariable equation in linear algebra that has only combined power of two. When represented by matrices, it has a geometric significance as a shift or transformation in coordinates.

A quadratic form *q( x)* can be written as:

*q(*=**x**)(**x***A*)**x**

where * y* =

*A*

*is the vector resulting from multiplying a matrix and a vector (a linear transformation) and*

**x***(*

**x***) is the scalar product of vectors.*

**y**