===== General positive semi-definite matrix =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $n\in\mathbb N$ | 

| @#FFBB00: definiendum | @#FFBB00: $ A \in \mathrm{it}(n) $ |

| @#55EE55: postulate   | @#55EE55: $ A \in \mathrm{SquareMatrix}(n,\mathbb C) $ |

| $ x \in \text{ColumnVector}(n,\mathbb C) $ |

| @#55EE55: postulate   | @#55EE55: $ A \in \mathrm{SquareMatrix}(n,\mathbb C) $ |
| @#55EE55: postulate   | @#55EE55: $ x^* A\ x \ge 0 $ |

==== Discussion ====
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Positive-definite_matrix|Positive-definite matrix]]
==== Parents ====
=== Subset of ===
[[Square matrix]]
=== Context ===
[[Column vector]]