Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Relating Invertibility to Onto and One to One

9th - 10th Standards
Video first reviews that a function is invertible if and only if there is a unique solution to f(x) = y for any y. Extends this to show that a function is invertible if and only if it is surjective (onto) and injective (one-to-one). [6:31]
Instructional Video
Khan Academy

Khan Academy: Linear Algebra: Surjective(onto), Injective(one to One) Functions

9th - 10th
Video explains what a surjective or onto function is and also what an injective or one-to-one function is. Gives examples and non-examples of surjective and injective functions. [9:31]