Definite matrix

id: definite-matrix-181-4687495
title: Definite matrix
text: In mathematics, a symmetric matrix   M   with real entries is positive-definite if the real number   x ⊤ M x   is positive for every nonzero real column vector   x  , where   x ⊤   is the row vector transpose of   x  . More generally, a Hermitian matrix is positive-definite if the real number   z ∗ M z   is positive for every nonzero complex column vector   z  , where   z ∗   denotes the conjugate transpose of   z  . Positive semi-definite matrices are defined similarly, except that the scalars
brand slug: wiki
category slug: encyclopedia
description: Property of a mathematical matrix
original url: https://en.wikipedia.org/wiki/Definite_matrix
date created: 2002-02-22T14:33:27Z
date modified: 2024-09-05T19:34:09Z
main entity: {"identifier":"Q77601250","url":"https://www.wikidata.org/entity/Q77601250"}
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fields total: 13
integrity: 15

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