EWU Math 231: Linear Transformations - Injective Linear Transformations

We examine properties of injective (one-to-one) linear transformations. We see that identifying whether a linear transformation is injective is equivalent to identifying whether the kernel of the transformation is trivial. We see that the set containing images of a linearly independent set under an injective linear transformation is also linearly independent and use this fact to derive a quick test (possibly) for not injective. Finally, we see that the composition of two injective linear transformations is also injective.