Inverse functions and transformations

Proof: Invertibility implies a unique solution to f(x)=y

Introduction to the inverse of a function

Surjective (onto) and injective (one-to-one) functions

Determining whether a transformation is onto

Relating invertibility to being onto and one-to-one

Exploring the solution set of Ax = b

Simplifying conditions for invertibility

Matrix condition for one-to-one transformation

Showing that inverses are linear