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Lesson 18 Orthogonal Complements

Lesson 17 Bases of the 4 Fundamental Spaces

Lesson 16 Four Fundamental Subspaces

Lesson 15 Basis, Span, Dimension

Lesson 14 Using RREF to solve Ax=b

Lesson 13 Generalities for Solving Ax=b

Lesson 12 Nullspace and A=CR

Lesson 11 Polynomial Vector Spaces

Lesson 10 Intro to Vector Spaces

Lesson 9 Permutation Matrices

Lesson 8 Gauss Jordan and A=LU Review

Lesson 7 A=LU Decomposition

Lesson 6 Gaussian Elimination

Lesson 5 Elimination Matrices

Lesson 4 Matrix Multiplication

Lesson 3 Matrices

Lesson 2 Dot Products

Lesson 1 Linear Combinations

At13 3D

At85 3D

At61

At17.5

At86

At47

At50

Composition of Functions: Examples (5:11)

Composition of Functions (6:13)

Lorenz Example: Sensitive dependence on initial conditions. Red is 1e-12. Magenta is -1e-12.