### Abstract

For a given commutative ring with an identity element, we define and study the substitution of a matrix with entries in into a matrix polynomial or rational function over . A Bezout-type remainder theorem and a "partial-substitution rule" are derived and used to obtain a number of results. The tensor map is introduced and used to investigate the solvability of linear matrix equations.

Original language | English |
---|---|

Pages (from-to) | 353-370 |

Journal | Linear Algebra and Its Applications |

Volume | 226-228 |

DOIs | |

Publication status | Published - 1995 |

## Fingerprint Dive into the research topics of 'Substitution of matrices over rings'. Together they form a unique fingerprint.

## Cite this

Hautus, M. L. J. (1995). Substitution of matrices over rings.

*Linear Algebra and Its Applications*,*226-228*, 353-370. https://doi.org/10.1016/0024-3795(95)00155-K