Matrix Algebra | Lecture 2 - Linear Algebra for Comp-Sci Majors

Timestamp Lecture 2: 0:00 - Recalling Basic Concepts and New Notations to be Aware of 4:29 - Matrix Addition, Scalar Multiplication 8:07 - Zero Matrix & Identity Matrix 11:34 - Matrix Multiplication 21:50 - Matrix Algebra Properties 27:04 - Transpose of a Matrix 31:56 - Transpose Matrix Properties 36:00 - Symmetric Matrix 42:43 - Vectors & Vector Spaces Explanation 51:33 - Standard Basis Vectors & Zero Vector 58:30 - Intro to Matrix Equations 1:03:33 - Homogeneous Systems and Equations 1:06:15 - Trivial and Nontrivial Solutions for Homogeneous Systems Problem Set 2: https://cdn.artofproblemsolving.com/attachments/a/7/93e3112cd53caf0603225b7b8537a2eb0a4422.pdf If you want a little challenge, more problems from this website!! http://linear.ups.edu/html/fcla.html The following lecture was followed from a textbook: Elementary Linear Algebra (A Matrix Approach) - Spence, Insel, Friedberg