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6
Properties of Inverses
- If an element
has both a left inverse
and a right inverse
, i.e., if
and
, then
,
is inveritble,
is its inverse
- If
is invertible, its inverse is unique
- Inverses multiply in the opposite order. If
and
are invertible, so is the product
, and
.
- An element
may have a left inverse or a right inverse, though it is not invertible.
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Karteninfo:
Autor: CoboCards-User
Oberthema: Mathematics
Thema: Abstract Algebra
Schule / Uni: Rice University
Ort: Houston
Veröffentlicht: 12.02.2017