About An Interview with Gilbert Strang on Teaching Linear Algebra

Linear Algebra: Solving Ax=b Using Gaussian Elimination to Find Pivots and Back Substitution Matrix Multiplication Rules in Linear Algebra Row Operations in Gaussian Elimination Algorithm Orthogonal Projection in Linear Algebra Least Squares Estimation in Regression Analysis Gram-Schmidt Orthogonalization Algorithm Determinant Calculation for Square Matrices Determinant Calculation in Linear Algebra via Expansion Along Any Row or Column Cramer's rule, explained geometrically Eigenvalues and Eigenvectors in Linear Algebra Linear Algebra: Row Exchanges and Permutation Matrices in Factorization Computing Dimensions of Null Space and Column Space in Linear Algebra Solving Ax = 0 via Reduced Row Echelon Form in Linear Algebra Linear Algebra solutions to Ax=b and homogeneous systems Ax=0 visualized in vector space Linear Independence of Basis Vectors in Euclidean Space Linear Algebra: Dimension and Basis for Matrix Spaces from Symmetric Matrices to Small World Graphs Linear Algebra Diagonalization Using Eigenvectors and Eigenvalues for Square Matrices 23. Differential Equations and exp(At) Matrix Similarity in Linear Algebra Finding Singular Value Decomposition of Matrices in Linear Algebra Linear Transformations in Linear Algebra Linear Algebra image compression using change of basis and Fourier transform in JPEG standard 33. Left and Right Inverses; Pseudoinverse Linear Systems of Equations in Linear Algebra Linear Algebra Matrix Vector Multiplication Equation Ax equals B in Linear Algebra Incidence Matrices and Kirchhoff's Laws in Linear Algebra for Electrical Networks Orthogonal Projections in Linear Algebra Linear Algebra Markov Matrices Steady State Applications Fourier Series 24b. Quiz 2 Review Eigenvalues and Eigenvectors for Symmetric Matrices Complex Numbers and Hermitian Matrices in Linear Algebra via the Fast Fourier Transform (FFT)