Quadratic forms

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  • It has been proposed that this page, Quadratic forms, be titled, "quadratic form".

Quadratic forms are functions expressed as multivariable equations in linear algebra that have only combined power of two. When represented by matrices, they have 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 x is the vector resulting from multiplying a matrix and a vector (a linear transformation) and x (y) is the scalar product of vectors.