This is the page for the coordinated course MATH-1554 Linear Algebra I studio section L02 at Georgia Tech. Here you can find some resources that may help you review. Feel free to reach out to me with any questions! My email is rhuang346@gatech.edu.
Summarized Notes from Previous Studios
| Section Number | Topics | Notes |
| 1.1 | System of Linear Equations | w1-1 |
| 1.2 | Row Reduction and Echelon Forms | w1-2 |
| 1.3-1.4 | Vector Equations The Matrix Equation Ax=b | w2-1 |
| 1.5 | Solution Sets of Linear Systems | w2-2 |
| 1.7 | Linear Independence | w3-1 |
| 1.8 | Introduction to Linear Transformations | w3-2 |
| 1.9-2.1 | The Matrix of a Linear Transformation Matrix Operations | w4-1 |
| 1.1-1.5, 1.5-2.1 | Notes from studios before Midterm #1 in one file | m1 |
| 2.2-2.3 | Inverse of a Matrix characterizations of Invertible Matrices | w5-1 |
| 2.4-2.5 | Partitioned Matrices Matrix Factorization | w5-2 |
| 2.8-2.9 | Subspace of R^n Dimension and Rank | w6-1 |
| 3.1-3.2 | Introduction to Determinants Properties of Determinants | w6-2 |
| 3.2-3.3 | Properties of Determinants Cramer’s Rule, Volume, and Linear Transformation | w7-1 |
| 4.9 (5.9) | Applications to Markov Chains | w7-2 |
| 5.1-5.2 | Eigenvectors and Eigenvalues The Characteristic Equation | w8-1 |
| 2.2-2.5, 2.8-2.9, 3.1-3.3, 4.9 (5.9), 5.1-5.2 | Notes from studios before Midterm #2 in one file | m2 |
| 5.3 | Diagonalization | w9-2 |
| 5.5, 6.1 | Complex Eigenvalues Inner Product, Length, and Orthogonality | w10-1 |
| 6.2 | Orthogonal Sets | w10-2 |
| 6.3-6.4 | Orthogonal Projections Gram-Schmidt Process | w11-1 |
| 6.5-6.6 | Least-Squares Problems Machine Learning and Linear Models | w11-2 |
| 5.3, 5.4, 6.1-6.6 | Notes from studios before Midterm #3 in one file | m3 |
| 10.2 | Page Rank | w13-1 |
| 7.1-7.2 | Diagonalization of Symmetric Matrices Quadratic Forms | w13-2 |
| 7.3 | Constrained Optimization | w14-1 |
| 7.4 | The Singular Value Decomposition | w14-2 |
| 1.1-1.5, 1.5-2.1, 2.2-2.5, 2.8-2.9, 3.1-3.3, 4.9 (5.9), 5.1-5.4, 6.1-6.6, 7.1-7.4, 10.2 | All notes from studios | all notes |
Other Helpful Resources
- Playlist by 3Blue1Brown: Essence of Linear Algebra (Many cool and helpful visualizations in the videos. Extremely helpful channel for understanding the geometrical implications of many concepts!)
- 109 Linear Algebra True or False Questions that Guarantee you ACE YOUR FINAL! (This video was made by Dr. Weselcouch, who taught my Linear Algebra at my undergraduate institute)