Quadratic Form - Equivalence of Forms

Equivalence of Forms

Every quadratic form q in n variables over a field of characteristic not equal to 2 is equivalent to a diagonal form

Such a diagonal form is often denoted by .

Classification of all quadratic forms up to equivalence can thus be reduced to the case of diagonal forms.

Read more about this topic:  Quadratic Form

Famous quotes containing the word forms:

    “No rent-roll nor army-list can dignify skulking and dissimulation: and the first point of courtesy must always be truth, as really all the forms of good-breeding point that way.”
    —Ralph Waldo Emerson (1803–1882)