MIT_OCW_Linear_Algebra_18_06

I contacted Prof Gilbert Strang in 2018 to ask if I could write content for his MIT Open Courseware course on linear algebra (MIT 18.06) using the Python language. At the time of the recording of these famous lectures, he was using MATLAB code. He graciously agreed.

This repository contains Jupyter notebooks that I created to accompany the lectures in the course. The notebooks include code examples and explanations of the concepts covered in the lectures.

I am currently updating the notebooks.

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MIT_OCW_Linear_Algebra_18_06

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Name		Name	Last commit message	Last commit date
.ipynb_checkpoints		.ipynb_checkpoints
.gitattributes		.gitattributes
.gitignore		.gitignore
01_Getting_started.ipynb		01_Getting_started.ipynb
02_Fun_with_algebra.ipynb		02_Fun_with_algebra.ipynb
03_Introduction_to_matrices.ipynb		03_Introduction_to_matrices.ipynb
04_Lecture_I_01_Geometric_view_of_linear_algebra.ipynb		04_Lecture_I_01_Geometric_view_of_linear_algebra.ipynb
05_Lecture_I_02_Overview_of_ideas_to_come.ipynb		05_Lecture_I_02_Overview_of_ideas_to_come.ipynb
06_Lecture_I_03_Elimination.ipynb		06_Lecture_I_03_Elimination.ipynb
07_Lecture_I_04_Matrix_multiplication_Inverses.ipynb		07_Lecture_I_04_Matrix_multiplication_Inverses.ipynb
08_Lecture_I_05_LU_decomposition_of_A.ipynb		08_Lecture_I_05_LU_decomposition_of_A.ipynb
09_Lecture_I_06_Transposes_Permutations_Spaces.ipynb		09_Lecture_I_06_Transposes_Permutations_Spaces.ipynb
10_Lecture_I_07_Column_and_null_spaces.ipynb		10_Lecture_I_07_Column_and_null_spaces.ipynb
11_Lecture_I_08_Solving_homogeneous_systems_Pivot_variables_Special_solutions.ipynb		11_Lecture_I_08_Solving_homogeneous_systems_Pivot_variables_Special_solutions.ipynb
12_Lecture_I_09_Solving_nonhomogeneous_systems.ipynb		12_Lecture_I_09_Solving_nonhomogeneous_systems.ipynb
13_Lecture_I_10_Independence_Spanning_Basis_Dimension.ipynb		13_Lecture_I_10_Independence_Spanning_Basis_Dimension.ipynb
14_Lecture_I_11_Subspaces.ipynb		14_Lecture_I_11_Subspaces.ipynb
3d.png		3d.png
GWU_Logo_Horizontal.png		GWU_Logo_Horizontal.png
Graph1.png		Graph1.png
Graph2.png		Graph2.png
III_01_Symmetric_matrices.ipynb		III_01_Symmetric_matrices.ipynb
III_02_Complex_matrices_FFT.ipynb		III_02_Complex_matrices_FFT.ipynb
III_03_Positive_definite_matrix_Minima_Ellipsoid.ipynb		III_03_Positive_definite_matrix_Minima_Ellipsoid.ipynb
III_04_Similar_matrices_Jordan_form.ipynb		III_04_Similar_matrices_Jordan_form.ipynb
III_05_Singular_value_decomposition.ipynb		III_05_Singular_value_decomposition.ipynb
III_06_Linear_transformations.ipynb		III_06_Linear_transformations.ipynb
III_07_Image_compression_Change_of_basis.ipynb		III_07_Image_compression_Change_of_basis.ipynb
III_08_Left_and_right_inverses_Pseudoinverses.ipynb		III_08_Left_and_right_inverses_Pseudoinverses.ipynb
III_09_Quiz_review.ipynb		III_09_Quiz_review.ipynb
III_10_Final_exam_review.ipynb		III_10_Final_exam_review.ipynb
II_01_Orthogonality_of_vectors_and_subspaces.ipynb		II_01_Orthogonality_of_vectors_and_subspaces.ipynb
II_02_Projection_onto_subspaces.ipynb		II_02_Projection_onto_subspaces.ipynb
II_03_Projection_matrices_and_least_squares.ipynb		II_03_Projection_matrices_and_least_squares.ipynb
II_04_Orthogonal_matrices_Gram_Schmidt.ipynb		II_04_Orthogonal_matrices_Gram_Schmidt.ipynb
II_05_Properties_of_the_determinant.ipynb		II_05_Properties_of_the_determinant.ipynb
II_06_Determinant_formulas_and_cofactors.ipynb		II_06_Determinant_formulas_and_cofactors.ipynb
II_07_Equations_for_the_inverse_Cramer_rule_Volume_of_a_box.ipynb		II_07_Equations_for_the_inverse_Cramer_rule_Volume_of_a_box.ipynb
II_08_Eigenvalues_and_eigenvectors.ipynb		II_08_Eigenvalues_and_eigenvectors.ipynb
II_09_Diagonalization_and_Powers.ipynb		II_09_Diagonalization_and_Powers.ipynb
II_10_Differential_equations_Exponential_of_a_matrix.ipynb		II_10_Differential_equations_Exponential_of_a_matrix.ipynb
II_11_Markov_matrices_Projections_and_Fourier_series.ipynb		II_11_Markov_matrices_Projections_and_Fourier_series.ipynb
I_12_Matrix_spaces.ipynb		I_12_Matrix_spaces.ipynb
I_13_Graphs_Incidence_matrices_Kirchhoff_laws.ipynb		I_13_Graphs_Incidence_matrices_Kirchhoff_laws.ipynb
I_14_Exam_review.ipynb		I_14_Exam_review.ipynb
KRG_elegant_logo_for_light_BG.png		KRG_elegant_logo_for_light_BG.png
Line.PNG		Line.PNG
MIT_OCW_18_06_Linear_algebra.zip		MIT_OCW_18_06_Linear_algebra.zip
Orthogonal projection in the plane.png		Orthogonal projection in the plane.png
README.md		README.md
UCT_logo.gif		UCT_logo.gif
W.png		W.png
figure_1.png		figure_1.png
style.css		style.css

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