Dive into the fundamentals of linear algebra with this comprehensive video series. Learn about matrices, their elements, and transpose operations before progressing to n-tuples and matrix arithmetic. Master matrix multiplication, vector dot products, and special matrices. Explore vector norms, unit vectors, and vector addition, including triangle inequalities. Understand orthogonal and orthonormal vectors, and tackle systems of equations using row reduction techniques across multiple lessons. Delve into homogeneous systems of equations and learn to find inverses of 2x2 and larger matrices. Finally, apply inverse matrices to solve systems of equations, gaining a solid foundation in linear algebra concepts over the course of 1 hour and 30 minutes.
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
