One-to-One and Onto Linear Transformations

In this video, we define injective, surjective, and bijective transformations. We demonstrate how to check if a linear transformation is one-to-one or onto via examples. We also provide on example of how a linear transformation can be used to produce an error-detecting code.

Linear Algebra Done Openly is an open source linear algebra textbook developed by Dr. Andrew Misseldine. It is supported and improved by student contributions done by Math 2700 students at Southern Utah University, since Fall 2018. The textbook can be found at:

This lecture covers section 1.4 - Linear Transformations from the book. This is part 5 of 5 videos from this section.