Category:Positive Definite Matrices

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This category contains results about Positive Definite Matrices.

Let $\mathbf A$ be a square matrix of order $n$.

$\mathbf A$ is positive definite if and only if:

$(1): \quad \mathbf A$ is symmetric

$(2): \quad$ for all column matrices $\mathbf x$ of order $n$, $\mathbf x^\intercal \mathbf A \mathbf x$ is strictly positive.

Subcategories

This category has only the following subcategory.

C

Characterisation of Real Symmetric Positive Definite Matrix‎ (3 P)

Pages in category "Positive Definite Matrices"

The following 2 pages are in this category, out of 2 total.

C

Characterisation of Real Symmetric Positive Definite Matrix

R

Real Symmetric Positive Definite Matrix has Positive Eigenvalues

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Matrix Algebra