Definite matrix: Difference between revisions

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==Equivalent formulations==

Let ''M'' be an ''n'' &times; ''n'' [[Hermitian matrix]]. In the following we denote the [[transpose]] of a matrix ofor vector <math>a</math> by <math>a^{T}</math>, and the [[conjugate transpose]] by <math>a^{*}</math>. The matrix ''M'' is said to be '''positive definite''' if it has one (and therefore all) of the following equivalent properties:

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