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queue-miscreant 2025-08-07 22:52:41 -05:00
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@ -174,7 +174,7 @@ In addition to this, we can also note the following:
since this follows from associativity.
Both of these facts narrow the ring of matrices to a full-on field.
This absolves us of needing to symbolically adjoin roots symbolically using α.
This absolves us of needing to adjoin roots symbolically using α.
Instead, we can take the companion matrix of an irreducible polynomial *p*
and work with its powers in the same way we would a typical root[^1].