# Category:Positive Definite Matrices

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.

## Pages in category "Positive Definite Matrices"

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