Inverse functions and transformations (K-A)

• Introduction to the inverse of a function (K-A)
• Proof: Invertibility implies a unique solution to f(x)=y (K-A)
• Surjective (onto) and injective (one-to-one) functions (K-A)
• Relating invertibility to being onto and one-to-one (K-A)
• Exploring the solution set of Ax = b (K-A)
• Matrix condition for one-to-one transformation (K-A)
• Simplifying conditions for invertibility (K-A)
• Showing that inverses are linear (K-A)