Abstract
In the definition of a linear substitution in Chapter 1, one can allow the multipliers to be rational numbers as well as integers. When this is done, the notion of a “linear substitution” is extended-what was called a linear substitution before is still a linear substitution, but new linear substitutions are allowed. The operation of composition of linear substitutions is defined in the same way as before, and it corresponds in the same way as before to an operation of matrix multiplication of matrices with rational entries.
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© 1995 Harold M. Edwards
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Edwards, H.M. (1995). Matrices with Rational Number Entries. In: Linear Algebra. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4446-8_6
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DOI: https://doi.org/10.1007/978-0-8176-4446-8_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4370-6
Online ISBN: 978-0-8176-4446-8
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