Definite matrix

Uncommon card · No. 91811

In mathematics, a symmetric matrix M {\displaystyle M} with real entries is positive-definite if the real number x T M x {\displaystyle \mathbf {x} ^{\mathsf {T}}M\mathbf {x} } is positive for every nonzero real column vector x , {\displaystyle \mathbf {x} ,} where x T {\displaystyle \mathbf {x} ^{\mathsf {T}}} is the row vector transpose of x . {\displaystyle \mathbf {x} .} More generally, a Hermitian matrix (that is, a complex matrix equal to its conjugate transpose) is...

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