Jie Jun Ang

I learned about vectors, matrices, properties of each, spaces, etc.

Elementary matrix operations, solving linear systems, kernel and image of matrices and their applications, linear regression models and their applications, eigenvalues and eigenvectors

I learned a lot about Matrices, Matrice operations, vector subspaces and dimensions, solving systems of equations using Gaussian elimination. Eigenvalues, Eigenvectors, and orthonormal eigenbasis were also taught.

I learned about matrices and different computations such as transformations , rref, multiplication, and then the breakdown of matrices with multiple theorems such as rank nudity theorem. I learned about images and kernels of spaces as well as determinants and eigenvalues and eigenvectors.

Matrices, vector spaces, linear transformations, eigenvalues and eigenvectors, canonical forms, applications.

Matrix operations, linear transformations, basic regression

linear algebra form beginning to end - covering most of the important topics

Determinants, eigenvalues & eigenvectors, diagonalization, and applications of these

Learned about 1/17 Systems of Linear Equations, Gauss-Jordan Elimination (1.1, 1.2) 1/19 Matrices and Vectors, Matrix Rank (1.2, 1.3) 1/24 Linear Transformations (2.1, 2.2) HW1 due 1/26 More Linear Transformations, Matrix Multiplication (2.2, 2.3) 1/31 Inverse of a Matrix (2.4) HW2 due 2/2 Image and Kernel of a Linear Transformation (3.1) 2/7 Subspaces of Rn (3.2, 3.3) HW3 due 2/9 Coordinates (3.4) 2/14 Review HW4 due 2/16 Midterm 1 2/21 Orthonormal bases (5.1) 2/23 Gram-Schmidt Process, QR factorization (5.2) 2/28 Orthogonal transformations (5.3) HW5 due 3/2 Least squares fitting (5.4) 3/7 Determinants (6.1) HW6 due 3/9 Properties of Determinants (6.2) 3/13–17 Spring break 3/21 Determinants geometrically (6.3) HW7 due 3/23 Diagonalization and Eigenvalues (7.1) Deadline to convert to P/F 3/28 Review HW8 due 3/30 Midterm 2 4/4 Finding Eigenvalues (7.2) 4/6 Finding Eigenvectors (7.3) 4/11 Dynamical Systems (end of 7.1, 7.4) HW9 due 4/13 Complex Eigenvalues (7.5) 4/18 Stability (7.6) HW10 due 4/20 Symmetric matrices (8.1) 4/25 Quadratic Forms (8.2) HW11 due 4/27 Final exam review

Linear Algebra 1 Columbia University: Arts & Sciences Spring 2023 Course: MATHUN2010_003_2023_1-LINEARALGEBRA : MATHUN2010_003_2023_1 - LINEAR ALGEBRA Instructor: Jie Jun Ang