Dive into advanced linear algebra concepts in this comprehensive 90-minute video tutorial. Explore transformation matrices for scaling, rotation, and translation, and master techniques for finding matrix determinants using row operations and cofactors. Learn about matrix rank, cross products, adjoints, and inverses. Delve into linear independence, basis vectors, and the motivations behind eigenvalues and eigenvectors. Gain practical skills in calculating eigenvalues and eigenvectors through step-by-step examples and explanations. Enhance your understanding of these crucial mathematical tools used in various fields of science and engineering.
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
