Positive-definite matrices

In mathematics, a symmetric matrix M with real entries is positive-definite if the real number x^T M x is positive ... Wikipedia: Definite matrix

The eigenvalues ​​of a positive-definite matrix are positive. The matrix is ​​invertible.

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Let's check that A = V * EValue * VT.

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The inverse matrix of a positive-definite matrix is ​​positive-definite.

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If A is positive-definite and if s is a strictly positive real number, then s*A is positive definite.

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A positive-matrix is ​​positive definite if and only if its positive square root is invertible.

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The code

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