Definition and Examples of INJECTIVE Linear Transformations | FREE Linear Algebra Course

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In this video, we define injective linear transformations, which are also one-to-one linear transformations. We consider examples of linear transformations, and we show how to determine if a linear transformation is injective.

This video is part of a linear algebra course

Students often ask is linear algebra important and is linear algebra hard. They wonder can anyone learn linear algebra and why some can't understand linear algebra. It is important to show to the students how linear algebra is used in data science, machine learning, AI, computer science, image processing, computer graphics, and in real life in general. This is a free video course in linear algebra for everyone, even beginners. It covers linear algebra with applications.

CHAPTERS:
0:00 Intro and learning outcomes
0:18 What is an injective linear transformation?
0:54 Not an injective linear transformation example
1:25 Example of an injective linear transformation
3:30 Now what?

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