Nonsingular Matrices

RESOURCES Lecture slides: https://gitlab.oit.duke.edu/bdf10/218... Course site: https://bfitz.xyz OVERVIEW 0:00 - Matrix Inverses (Motivation) 1:35 - Matrix Inverses (Left, Right, and Two-Sided) 3:40 - Matrix Inverses (Invertibility) 4:51 - Matrix Inverses (Some matrices are not invertible!) 5:57 - Matrix Inverses (Example) 8:28 - Matrix Inverses (Properties) 12:01 - Calculating Inverses (Augmentation Method) 13:41 - Calculating Inverses (Example 1) 15:48 - Calculating Inverses (Example 2) 16:25 - Calculating Inverses (Example 3) 17:18 - Nonsingularity (Nonsingular Means Invertible) 18:25 - Nonsingularity (The Invertible Matrix Theorem) 20:03 - Sage Tutorial