Difference between revisions of "Quadratic form"
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| − | '''Quadratic forms''' are multivariable equations in [[linear algebra]] that have no combined power larger than two. When represented by [[matrices]], they have a geometric significance as a shift or transformation in coordinates. | + | '''Quadratic forms''' are functions expressed as multivariable equations in [[linear algebra]] that have no combined power larger than two. When represented by [[matrices]], they have a geometric significance as a shift or transformation in coordinates. |
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| + | A quadratic form ''q('''x''')'' can be written as: | ||
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| + | :''q('''x''')'' = '''''x'''''(''A'' '''''x''''') | ||
[[Category:linear algebra]] | [[Category:linear algebra]] | ||
Revision as of 20:16, May 9, 2010
- It has been proposed that this page, :Quadratic form, be titled, "quadratic form".
Quadratic forms are functions expressed as multivariable equations in linear algebra that have no combined power larger than 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)