Linear Algebra - Vol 1

This introductory course covers matrices, matrix arithmetic, vector operations, norms, orthogonality, row reduction, homogeneous systems, and matrix-based methods for solving equations.

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).