Changes

'''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.

'''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:

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

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.

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.

[[Category:Linear algebra]]

[[Category:Linear Algebra]]