Relations between msets | Abstract Algebra Math Foundations 225 | NJ Wildberger

Given some msets, we can consider their integral linear span. But complementary to this is the question of the relations satisfied by the relations. This balancing between relations among an mset of msets and the ispan of that mset of msets is directly analogous to the rank -nullity theorem in linear algebra.

Here we explore how to obtain relations from the Hermite normal form algorithm.

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Video contents:
00:00 Introduction
3:25 Msets Can Have More Than One Relation
7:45 Ex(from MF 222)
13:43 Relations
17:20 linear Combination of Relations
19:41 Relations Between msets
23:55 Pause
24:07 ?