├── README.md ├── eig ├── .ipynb_checkpoints │ ├── LA_eig_allCode-checkpoint.ipynb │ ├── LA_eig_diagonalization-checkpoint.ipynb │ ├── LA_eig_eigenvalues-checkpoint.ipynb │ ├── LA_eig_eigenvectors-checkpoint.ipynb │ ├── LA_eig_generalizedEig-checkpoint.ipynb │ ├── LA_eig_powersDiagonalization-checkpoint.ipynb │ ├── LA_eig_repeatedEvals-checkpoint.ipynb │ └── LA_eig_symmetric-checkpoint.ipynb ├── LA_eig_allCode.ipynb ├── LA_eig_allCode.m ├── LA_eig_diagonalization.ipynb ├── LA_eig_diagonalization.m ├── LA_eig_eigenvalues.ipynb ├── LA_eig_eigenvalues.m ├── LA_eig_eigenvectors.ipynb ├── LA_eig_eigenvectors.m ├── LA_eig_generalizedEig.ipynb ├── LA_eig_generalizedEig.m ├── LA_eig_powersDiagonalization.ipynb ├── LA_eig_powersDiagonalization.m ├── LA_eig_repeatedEvals.ipynb ├── LA_eig_repeatedEvals.m ├── LA_eig_symmetric.ipynb ├── LA_eig_symmetric.m ├── linalg_eig.pdf └── real_matrices.mat ├── intro ├── .ipynb_checkpoints │ └── LA_intro_picSVD-checkpoint.ipynb ├── Einstein_tongue.jpg ├── LA_intro_picSVD.ipynb └── LA_intro_picSVD.m ├── introMatrices ├── .ipynb_checkpoints │ ├── LA_introMatrices_addSubtract-checkpoint.ipynb │ ├── LA_introMatrices_allCode-checkpoint.ipynb │ ├── LA_introMatrices_broadcasting-checkpoint.ipynb │ ├── LA_introMatrices_diagonalTrace-checkpoint.ipynb │ ├── LA_introMatrices_scalarMult-checkpoint.ipynb │ ├── LA_introMatrices_transpose-checkpoint.ipynb │ └── LA_introMatrices_zoo-checkpoint.ipynb ├── LA_introMatrices_addSubtract.ipynb ├── LA_introMatrices_addSubtract.m ├── LA_introMatrices_allCode.ipynb ├── LA_introMatrices_allCode.m ├── LA_introMatrices_broadcasting.ipynb ├── LA_introMatrices_broadcasting.m ├── LA_introMatrices_diagonalTrace.ipynb ├── LA_introMatrices_diagonalTrace.m ├── LA_introMatrices_scalarMult.ipynb ├── LA_introMatrices_scalarMult.m ├── LA_introMatrices_transpose.ipynb ├── LA_introMatrices_transpose.m ├── LA_introMatrices_zoo.ipynb ├── LA_introMatrices_zoo.m └── linalg_matrices.pdf ├── inverse ├── .ipynb_checkpoints │ ├── LA_inverse_allCode-checkpoint.ipynb │ ├── LA_inverse_conceptUses-checkpoint.ipynb │ ├── LA_inverse_leftRight-checkpoint.ipynb │ ├── LA_inverse_pseudoinv-checkpoint.ipynb │ └── LA_inverse_viaRREF-checkpoint.ipynb ├── LA_inverse_allCode.ipynb ├── LA_inverse_allCode.m ├── LA_inverse_conceptUses.ipynb ├── LA_inverse_conceptUses.m ├── LA_inverse_leftRight.ipynb ├── LA_inverse_leftRight.m ├── LA_inverse_pseudoinv.ipynb ├── LA_inverse_pseudoinv.m ├── LA_inverse_viaRREF.ipynb ├── LA_inverse_viaRREF.m └── linalg_inverse.pdf ├── leastsquares ├── EEG_RT_data.mat ├── LA_leastSquares_RREF.m ├── LA_leastSquares_allCode.ipynb ├── LA_leastSquares_allCode.m ├── LA_leastSquares_example1.ipynb ├── LA_leastSquares_example1.m ├── LA_leastSquares_example2.ipynb ├── LA_leastSquares_example2.m ├── LA_leastsquares_viaRREF.ipynb ├── linalg_leastSquares.ipynb ├── linalg_leastsquares.pdf └── widget_data.mat ├── matrixDet └── linalg_matrixDet.pdf ├── matrixMults ├── .ipynb_checkpoints │ ├── LA_matrixMults_Hadamard-checkpoint.ipynb │ ├── LA_matrixMults_OrderOperations-checkpoint.ipynb │ ├── LA_matrixMults_allCode-checkpoint.ipynb │ ├── LA_matrixMults_frobenius-checkpoint.ipynb │ ├── LA_matrixMults_identities-checkpoint.ipynb │ ├── LA_matrixMults_matrixVector-checkpoint.ipynb │ ├── LA_matrixMults_norms-checkpoint.ipynb │ ├── LA_matrixMults_standardMatrixMult-checkpoint.ipynb │ ├── LA_matrixMults_symmetric-checkpoint.ipynb │ ├── LA_matrixMults_symmetricMults-checkpoint.ipynb │ └── LA_matrixMults_transformations-checkpoint.ipynb ├── LA_matrixMults_Hadamard.ipynb ├── LA_matrixMults_Hadamard.m ├── LA_matrixMults_OrderOperations.ipynb ├── LA_matrixMults_OrderOperations.m ├── LA_matrixMults_allCode.ipynb ├── LA_matrixMults_allCode.m ├── LA_matrixMults_frobenius.ipynb ├── LA_matrixMults_frobenius.m ├── LA_matrixMults_identities.ipynb ├── LA_matrixMults_identities.m ├── LA_matrixMults_matrixVector.ipynb ├── LA_matrixMults_matrixVector.m ├── LA_matrixMults_norms.ipynb ├── LA_matrixMults_norms.m ├── LA_matrixMults_standardMatrixMult.ipynb ├── LA_matrixMults_standardMatrixMult.m ├── LA_matrixMults_symmetric.ipynb ├── LA_matrixMults_symmetric.m ├── LA_matrixMults_symmetricMults.ipynb ├── LA_matrixMults_symmetricMults.m ├── LA_matrixMults_transformations.ipynb ├── LA_matrixMults_transformations.m └── linalg_matrixMult.pdf ├── projorth ├── .ipynb_checkpoints │ ├── LA_projorth_QR-checkpoint.ipynb │ ├── LA_projorth_R2-checkpoint.ipynb │ ├── LA_projorth_RN-checkpoint.ipynb │ └── LA_projorth_allCode-checkpoint.ipynb ├── LA_projorth_QR.ipynb ├── LA_projorth_QR.m ├── LA_projorth_R2.ipynb ├── LA_projorth_R2.m ├── LA_projorth_RN.ipynb ├── LA_projorth_RN.m ├── LA_projorth_allCode.ipynb ├── LA_projorth_allCode.m └── linalg_projorth1.pdf ├── quadformDefinite ├── .ipynb_checkpoints │ ├── LA_quadform_PCA-checkpoint.ipynb │ ├── LA_quadform_algebra-checkpoint.ipynb │ ├── LA_quadform_allCode-checkpoint.ipynb │ ├── LA_quadform_definiteness-checkpoint.ipynb │ ├── LA_quadform_eigSurface-checkpoint.ipynb │ ├── LA_quadform_generalized-checkpoint.ipynb │ └── LA_quadform_geometry-checkpoint.ipynb ├── LA_quadform_PCA.ipynb ├── LA_quadform_PCA.m ├── LA_quadform_algebra.ipynb ├── LA_quadform_algebra.m ├── LA_quadform_allCode.ipynb ├── LA_quadform_allCode.m ├── LA_quadform_definiteness.ipynb ├── LA_quadform_definiteness.m ├── LA_quadform_eigSurface.ipynb ├── LA_quadform_eigSurface.m ├── LA_quadform_generalized.ipynb ├── LA_quadform_generalized.m ├── LA_quadform_geometry.ipynb ├── LA_quadform_geometry.m └── linalg_quadformDef.pdf ├── rank ├── .ipynb_checkpoints │ ├── LA_rank_AtA_AAt-checkpoint.ipynb │ ├── LA_rank_allCode-checkpoint.ipynb │ ├── LA_rank_shifting-checkpoint.ipynb │ └── LA_rank_theoryPractice-checkpoint.ipynb ├── LA_rank_AtA_AAt.ipynb ├── LA_rank_AtA_AAt.m ├── LA_rank_allCode.ipynb ├── LA_rank_allCode.m ├── LA_rank_shifting.ipynb ├── LA_rank_shifting.m ├── LA_rank_theoryPractice.ipynb ├── LA_rank_theoryPractice.m └── linalg_matrixRank.pdf ├── spaces ├── .ipynb_checkpoints │ └── LA_spaces_allCode-checkpoint.ipynb ├── LA_spaces_allCode.ipynb ├── LA_spaces_allCode.m └── linalg_matrixSpaces.pdf ├── svd ├── .ipynb_checkpoints │ ├── LA_svd_TheSVD-checkpoint.ipynb │ ├── LA_svd_allCode-checkpoint.ipynb │ ├── LA_svd_condnum-checkpoint.ipynb │ ├── LA_svd_inversePinv-checkpoint.ipynb │ ├── LA_svd_lowRankApprox-checkpoint.ipynb │ ├── LA_svd_percentVariance-checkpoint.ipynb │ ├── LA_svd_singularvalsEigvals-checkpoint.ipynb │ └── LA_svd_spectral-checkpoint.ipynb ├── LA_svd_TheSVD.ipynb ├── LA_svd_TheSVD.m ├── LA_svd_allCode.ipynb ├── LA_svd_allCode.m ├── LA_svd_condnum.ipynb ├── LA_svd_condnum.m ├── LA_svd_inversePinv.ipynb ├── LA_svd_inversePinv.m ├── LA_svd_lowRankApprox.ipynb ├── LA_svd_lowRankApprox.m ├── LA_svd_percentVariance.ipynb ├── LA_svd_percentVariance.m ├── LA_svd_singularvalsEigvals.ipynb ├── LA_svd_singularvalsEigvals.m ├── LA_svd_spectral.ipynb ├── LA_svd_spectral.m └── linalg_svd.pdf ├── systems ├── .ipynb_checkpoints │ ├── LA_systems_RREF-checkpoint.ipynb │ ├── LA_systems_algebraGeom-checkpoint.ipynb │ └── LA_systems_allCode-checkpoint.ipynb ├── LA_systems_RREF.ipynb ├── LA_systems_RREF.m ├── LA_systems_algebraGeom.ipynb ├── LA_systems_algebraGeom.m ├── LA_systems_allCode.ipynb ├── LA_systems_allCode.m ├── LA_systems_spacesAfterRREF.m └── linalg_matrixSystems.pdf └── vectors ├── .ipynb_checkpoints ├── LA_vectors_addSubtract-checkpoint.ipynb ├── LA_vectors_algebraGeometry-checkpoint.ipynb ├── LA_vectors_allCode-checkpoint.ipynb ├── LA_vectors_crossProduct-checkpoint.ipynb ├── LA_vectors_dotProdAssocDistr-checkpoint.ipynb ├── LA_vectors_dotProduct-checkpoint.ipynb ├── LA_vectors_dotprodGeometry-checkpoint.ipynb ├── LA_vectors_hadamard-checkpoint.ipynb ├── LA_vectors_hermitian-checkpoint.ipynb ├── LA_vectors_outerProduct-checkpoint.ipynb ├── LA_vectors_span-checkpoint.ipynb ├── LA_vectors_unitVectors-checkpoint.ipynb ├── LA_vectors_vectScalarMult-checkpoint.ipynb └── 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