One-to-One and Onto Transformations

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Since functions are just a special case of transformations, the idea of "one-to-one" should be familiar from your algebra days. We'll review it here anyway, and then we'll apply it to linear transformations. We'll also describe what it means for a function to be "onto", and apply that to linear transformations as well.

0:00 Introduction and Review
0:54 One-to-One Functions
11:57 Onto Functions
27:44 One-to-One Transformations
33:52 Onto Transformations
43:49 Test for One-to-One
47:32 Test for Onto
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