This course aims to teach students about advanced topics in linear algebra. By the end of the course, learners will be able to understand and apply transformation matrices for scaling, rotation, and translation. They will also learn about the rank of a matrix, determinants, cross products, cofactors, adjoints, inverses, eigenvalues, and eigenvectors. The teaching method involves a series of lessons covering theoretical concepts and practical applications. This course is intended for individuals with a basic understanding of linear algebra who want to deepen their knowledge and skills in the subject.
Overview
Syllabus
01 - Transformation Matrices For Scaling (Linear Algebra).
Lesson 2 - Transformation Matrices For Rotation (Linear Algebra).
Lesson 3 - Transformation Matrices For Translation.
Lesson 4 - The Rank Of A Matrix (Linear Algebra).
Lesson 5 - Finding The Determinant Of A Matrix With Row Operations, Part 1 (Linear Algebra).
Lesson 6 - Finding The Determinant Of A Matrix With Row Operations, Part 2 (Linear Algebra).
Lesson 7 - Determinant Of A 3x3 Matrix - Fast Method (Linear Algebra).
Lesson 8 - Find The Cross Product Of Two Vectors With Determinants (Linear Algebra).
Lesson 9 - Cofactors Of A Matrix (Linear Algebra).
Lesson 10 - Finding The Determinant With Cofactors (Linear Algebra).
Lesson 11 - Adjoints And Inverses (Linear Algebra).
Lesson 12 - Important Properties Of Determinants (Linear Algebra).
Lesson 13 - Linear Independence And Basis (Linear Algebra).
Lesson 14 - Motivation For Eigenvalues And Eigenvectors (Linear Algebra).
15 - What are Eigenvalues and Eigenvectors? Learn how to find Eigenvalues..
Lesson 16 - Finding Eigenvalues, Part 1 (Linear Algebra).
Lesson 17 - Finding Eigenvalues, Part 2 (Linear Algebra).
Lesson 18 - Finding Eigenvalues Part 3 (Linear Algebra).
Lesson 19 - Finding Eigenvalues, Part 4 (Linear Algebra).
Lesson 20 - Finding Eigenvectors, Part 1 (Linear Algebra).
Lesson 21 - Finding Eigenvectors, Part 2 (Linear Algebra).
Taught by
mathandscience
