### Abstract

We state the following conjecture and prove it for the case where q is a proper prime power: Let A be a nonsingular n by n matrix over the finite field GF_{q}q≧4, then there exists a vector x in (GF_{q})^{n} such that both x and Ax have no zero component.

Original language | English (US) |
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Pages (from-to) | 393-395 |

Number of pages | 3 |

Journal | Combinatorica |

Volume | 9 |

Issue number | 4 |

DOIs | |

State | Published - Dec 1 1989 |

Externally published | Yes |

### All Science Journal Classification (ASJC) codes

- Discrete Mathematics and Combinatorics
- Computational Mathematics

### Keywords

- AMS subject classifications (1980): 05B35, 05B25, 12C05

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## Cite this

Alon, N., & Tarsi, M. (1989). A nowhere-zero point in linear mappings.

*Combinatorica*,*9*(4), 393-395. https://doi.org/10.1007/BF02125351