Example
As an example, let V = ℝ2, and consider the quadratic form
where x = (x1, x2) and c1 and c2 are constants. If c1 > 0 and c2 > 0, the quadratic form Q is positive definite. If one of the constants is positive and the other is zero, then Q is positive semidefinite. If c1 > 0 and c2 < 0, then Q is indefinite.
Read more about this topic: Definite Quadratic Form
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