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  linear-systems-and-matrix-equations

   01_introduction-to-matrices

    01_matrices-and-linear-systems

     01_systems-of-linear-equations.en.txt

     02_matrices-and-linear-systems_1.1_Matrices_and_Linear_Systems.pdf

     02_matrices-and-linear-systems_systems-of-eqns.html

    02_row-reduction

     01_row-reduction-and-echelon-form.en.txt

     02_row-reduction_1.2_Row_Reduction.pdf

     02_row-reduction_instructions.html

     02_row-reduction_row-reduction.html

   02_vector-and-matrix-equations

    01_vector-equations

     01_vector-equations.en.txt

     02_vector-equations_2.1_Vector_Equations.pdf

     02_vector-equations_spans.html

    02_matrix-equations

     01_matrix-equations.en.txt

     02_solution-sets-of-linear-systems.en.srt

     02_solution-sets-of-linear-systems.mp4

     03_matrix-equations_instructions.html

     03_matrix-equations_solution-sets.html

   03_linear-transformations

    01_linear-independence

     01_linear-independence.en.txt

     02_linear-independence_3.1_Linear_Independence.pdf

     02_linear-independence_linear-independence.html

    02_linear-transformations

     01_introduction-to-linear-transformations.en.txt

     02_linear-transformations_3.2_Linear_Transformations.pdf

     02_linear-transformations_linear-transformations.html

    03_matrices-and-linear-transformations

     01_the-matrix-of-a-linear-transformation.en.txt

     02_matrices-and-linear-transformations_3.3_Matrices_and_Linear_Transformations.pdf

     02_matrices-and-linear-transformations_matrix-transformations.html

  matrix-algebra-determinants-and-eigenvectors

   01_matrix-algebra

    01_matrix-operations

     01_matrix-operations.en.txt

     02_matrix-operations_1.1_Matrix_Operations.pdf

     02_matrix-operations_matrix-multiplication.html

    02_inverse-matrices

     01_inverse-matrices.en.txt

     02_characterizations-of-invertible-matrices.en.srt

     02_characterizations-of-invertible-matrices.mp4

     03_inverse-matrices_instructions.html

     03_inverse-matrices_matrix-inverses.html

   02_subspaces

    01_introduction-to-subspaces

     01_subspaces-of-r-n.en.txt

     02_introduction-to-subspaces_2.1_Introduction_to_Subspaces.pdf

     02_introduction-to-subspaces_subspaces.html

    02_dimension-and-rank

     01_dimension-and-rank.en.txt

     02_dimension-and-rank_2.2_Dimension_and_Rank.pdf

     02_dimension-and-rank_instructions.html

   03_determinants

    01_introduction-to-determinants

     01_introduction-to-determinants.en.txt

     02_introduction-to-determinants_3.1_Introduction_to_Determinants.pdf

     02_introduction-to-determinants_determinants-definitions-properties.html

    02_properties-of-determinants

     01_new-video.en.txt

     02_properties-of-determinants_3.2_Properties_of_Determinants.pdf

     02_properties-of-determinants_instructions.html

    03_applications-of-determinants

     01_cramers-rule-volume-and-linear-transformations.en.txt

     02_applications-of-determinants_3.3_Applications_of_Determinants.pdf

     02_applications-of-determinants_instructions.html

   04_eigenvectors-and-eigenvalues

    01_introduction-to-eigenvalues-and-eigenvectors

     01_introduction-to-eigenvalues-and-eigenvectors.en.txt

     02_introduction-to-eigenvalues-and-eigenvectors_4.1_Introduction_to_Eigenvalues_and_Eigenvectors.pdf

     02_introduction-to-eigenvalues-and-eigenvectors_instructions.html

    02_the-characteristic-equation

     01_the-characteristic-equation.en.txt

     02_the-characteristic-equation_4.2_The_Characteristic_Equation.pdf

     02_the-characteristic-equation_instructions.html

   05_diagonalization-and-linear-transformations

    01_diagonalization

     01_diagonalization.en.txt

     02_diagonalization_5.1_Diagonalization.pdf

     02_diagonalization_instructions.html

    02_eigenvectors-and-linear-transformations

     01_eigenvectors-and-linear-transformations.en.txt

     02_eigenvectors-and-linear-transformations_5.2_Eigenvectors_and_Linear_Transformations.pdf

   06_final-assessment

    01_optional-markov-chains-and-google-pagerank

     01_markov-chains_Application__Markov_Chains.pdf

     01_markov-chains_stochastic-matrices.html

  orthogonality-and-diagonalization

   01_orthogonality

    01_distance-and-angles-between-vectors

     01_inner-product-length-and-orthogonality.en.txt

     02_distance-and-angles-between-vectors_1.1_Distance_and_Angles_Between_Vectors.pdf

     02_distance-and-angles-between-vectors_instructions.html

    02_orthogonal-sets-of-vectors

     01_orthogonal-sets-of-vectors-video.en.txt

     02_orthogonal-sets-of-vectors_1.2_Orthogonal_Sets_of_Vectors.pdf

     02_orthogonal-sets-of-vectors_orthogonal-sets.html

   02_orthogonal-projections-and-least-squares-problems

    01_orthogonal-projections

     01_orthogonal-projections.en.txt

     02_orthogonal-projections_2.1_Orthogonal_Projections.pdf

     02_orthogonal-projections_projections.html

    02_finding-orthogonal-bases

     01_gram-schmidt-process.en.txt

     02_finding-orthogonal-bases_2.2_Finding_Orthogonal_Bases.pdf

    03_least-squares-problems

     01_least-squares-problems.en.txt

     02_least-squares-solutions_2.3_Least-Squares_Solutions.pdf

     02_least-squares-solutions_least-squares.html

   03_symmetric-matrices-and-quadratic-forms

    01_symmetric-matrices

     01_symmetric-matrices.en.txt

     02_symmetric-matrices_3.1_Symmetric_Matrices.pdf

    02_quadratic-forms

     01_quadratic-forms.en.txt

     02_quadratic-forms_3.2_Quadratic_Forms.pdf