Branches History Index

◀ ▲ ▶Branches / Algebra / Lemma: Fundamental Lemma of Homogeneous Systems of Linear Equations

Lemma: Fundamental Lemma of Homogeneous Systems of Linear Equations

For a given homogeneous system with \(m\) linear equations and \(n\) unknowns there is always at least one non-trivial solution, whenever \(m < n\).

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1

Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs

References

Bibliography

  1. Koecher Max: "Lineare Algebra und analytische Geometrie", Springer-Verlag Berlin Heidelberg New York, 1992, 3rd Volume