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Sami.mkaddem (talk | contribs) →Example: Fixed typo Tags: Mobile edit Mobile web edit |
Sami.mkaddem (talk | contribs) →Example: Fixed typo Tags: Mobile edit Mobile web edit |
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==Example==
As an example, let {{math|1=''V'' = \mathbb
:<math>Q(x)=c_1{x_1}^2+c_2{x_2}^2 \,</math>
where {{math|1=''x'' = (''x''<sub>1</sub>, ''x''<sub>2</sub>)}} and {{math|''c''<sub>1</sub>}} and {{math|''c''<sub>2</sub>}} are constants. If {{math|1=''c''<sub>1</sub> > 0}} and {{math|1=''c''<sub>2</sub> > 0}}, the quadratic form {{math|''Q''}} is positive definite. If one of the constants is positive and the other is zero, then {{math|''Q''}} is positive semidefinite. If {{math|1=''c''<sub>1</sub> > 0}} and {{math|1=''c''<sub>2</sub> < 0}}, then {{math|''Q''}} is indefinite.
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