[home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] | ||

Mathematics-Online lexicon: | ||

## Determinant and Solvability of a LSE |

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z | overview |

Given a LSE with square coefficient matrix . the following statements are equivalent:

- The LSE has a unique solution.
- The homogeneous system has only the trivial solution .
- .

(Authors: App/Burkhardt/Höllig)

**see also:**

- Keyword: Determinant
- Keyword: System of equations, linear
- Keyword: Matrix: determinant

[Annotations]
[Examples]

automatically generated 3/15/2005 |