This course on Linear Algebra aims to teach students the fundamentals of matrices, matrix arithmetic, matrix multiplication, vector operations, special matrices, and solving systems of equations using row reduction and inverse matrices. The course covers topics such as vector norms, unit vectors, orthogonal vectors, and homogeneous systems of equations. The teaching method involves a series of lessons with theoretical explanations and practical examples. This course is intended for learners interested in gaining a solid understanding of linear algebra concepts and their applications.
Overview
Syllabus
01 - Matrices, Elements, And Transpose (Learn Linear Algebra).
Lesson 2 - N-tuples And Matrix Arithmetic, Part 1 (Linear Algebra).
Lesson 3 - N-tuples And Matrix Arithmetic, Part 2 (Linear Algebra).
Lesson 4 - Matrix Multiplication (Linear Algebra).
Lesson 5 - The Vector Dot Product (Linear Algebra).
Lesson 6 - Special Matrices (Linear Algebra).
Lesson 7 - Norm Of A Vector (Linear Algebra).
Lesson 8 - Unit Vectors In Any Direction (Linear Algebra).
Lesson 9 - Vector Addition And Triangle Inequalities (Linear Algebra).
Lesson 10 - Orthogonal And Orthonormal Vectors (Linear Algebra).
Lesson 11 - Solve Systems Of Equations With Row Reduction, Part 1 (Linear Algebra).
Lesson 12 - Solve Systems Of Equations With Row Reduction, Part 2 (Linear Algebra).
Lesson 13 - Solve Systems Of Equations With Row Reduction, Part 3 (Linear Algebra).
Lesson 14 - Solve Systems Of Equations With Row Reduction, Part 4 (Linear Algebra).
Lesson 15 - Solve Systems Of Equations With Row Reduction, Part 5 (Linear Algebra).
Lesson 16 - Homogeneous Systems Of Equations (Linear Algebra).
Lesson 17 - Inverse Of A 2x2 Matrix (Linear Algebra).
Lesson 18 - Inverse Of A 3x3 And Larger Matrix.
Lesson 19 - Solve Systems Of Equations With Inverse Matrices (Linear Algebra).
Taught by
mathandscience
