MathLiveInvertibility condition for a square matrix
A square matrix is invertible exactly when its determinant is nonzero. This test is used to decide whether a linear system has a unique solution and whether an inverse matrix exists.
\det A\neq 0What the symbols mean
| a square matrix | |
| the determinant of A |
About this formula
- FieldMathematics
- TopicLinear algebra
- LevelUniversity
- Also calledinvertible matrix criterion, non-singular matrix determinant, matrix invertible if determinant nonzero, regular matrix condition, det A not zero, square matrix invertible test
- SourceWikidata Q242188
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