Triangular matrix
ConceptAlgebra
A square matrix with zeros on one side of its diagonal
1.25Uncommon
Uncommon
Triangular matrix
- Algebra
In mathematics, a triangular matrix is a type of square matrix. A lower triangular matrix has zero entries above the main diagonal, while an upper triangular matrix has zero entries below it. Matrix equations involving triangular matrices are easier to solve, making them important in numerical analysis. An invertible matrix has an LU decomposition into lower and upper triangular matrices exactly when all its leading principal minors are non-zero.
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- Lower triangular matrix
- All entries above the main diagonal are zero.
- Upper triangular matrix
- All entries below the main diagonal are zero.
Sources and credits
Sources and credits
- Article
- Triangular matrix (English Wikipedia)
- Wikidata
- Q506265
- Text
- Card text is adapted from the English Wikipedia article by an automated summary. Wikipedia content is available under CC BY-SA 4.0; see the article history for its contributors. CC BY-SA 4.0 · Article history and contributors
- Illustration
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