Injective linear transformation preserves linear independence
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
38691
Injectivity of Homomorphism in Localization
146812
Explicit construction for unitary extensions of completely positive and trace preserving (CPTP) maps?
72077
''Linear'' transformations between vector spaces over different fields .
126769
Linear independence of columns implies non-zero determinant
95771
Rows linearly independent implies columns linearly independent
112024
Let $T:V → V$ be a linear transformation where $V$ is finite dimensional.
24004
General form of a linear transformation
19279
dropping injectivity from multivariable change of variables
34489
Matrix representation of linear transformation
17031
Idempotent linear operators are projections
96995
Is the inverse of a linear transformation linear as well?
51313
Extension of linearly independent set to a basis in an infinite dimensional vector space
140212
Prove that there exists a unique linear map that extends the map from a basis
54360
Injective implies trivial kernel.
62887
Proof that a linear transformation is continuous
143517
Isomorphisms Between a Finite-Dimensional Vector Space and its Dual