PROPERTIES of Injective Linear Transformations | FREE Linear Algebra Course

In this video, we show that injective linear transformations preserve linear independence. We also prove that composition of injective linear transformations is an injective linear transformation.

This video is part of a linear algebra course

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CHAPTERS:
0:00 Intro and learning outcomes
0:39 Injective linear transformations preserve linear independence
1:56 Injective linear transformations and basis
4:39 Injective linear transformations and dimension
6:41 How to use dimension to show that a linear transformation is not injective
7:26 Composition of injective linear transformations is an injective linear transformation
8:36 Now what?

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