Bases and dimension for integral linear spaces II | Abstract Algebra Math Foundations 222

Описание: We want to tackle the explicit computational question of how to find a convenient basis of an integral linear space. Given some msets, they span an integral linear space, but we would like to find a simpler basis for such a space. The algorithm which we introduce is a variant of the row reduction algorithm from linear algebra, also sometimes called Gaussian elimination.

However one big difference is that we are only working with integral combinations, not rational ones. It is somewhat pleasant that such an important algorithm figures prominently in this first foray into abstract algebra!

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