I'm trying to understand the concept of an injective matrix. What does it signify when we say that a matrix is injective? I want to know the implications and characteristics of such a matrix.
6 answers
CryptoBaroness
Sun Oct 27 2024
This transformation is characterized by the property that T(u) = T(v) only when u = v.
TaegeukChampion
Sun Oct 27 2024
An injective transformation T exists between two vector spaces V and W.
TaegeukChampionCourageousHeartWarrior
Sat Oct 26 2024
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Alessandra
Sat Oct 26 2024
In simpler terms, an injective transformation ensures that no two vectors from the domain space V map to the same vector in the target space W.
GangnamGlitzGlamour
Sat Oct 26 2024
Every vector in the target space W is "hit" by at most one vector from the domain space V under an injective transformation.