This is the page for the coordinated course MATH-1554 Linear Algebra Studio Sections L02 at Georgia Tech. Here you can find some resources that may help you review.
My office hour in Fall 2024 is 1:30-2:30pm every Tuesday in Math Lab at Clough 280. If this time doesn’t work for you, you can still go to the Math Lab to get help any questions about MATH-1554. You can find the detailed schedule about Math Lab here.
However, you are always welcomed to schedule a time to meet with me either in-person or online. My email is rhuang346@gatech.edu, and you can check my schedule at MY SCHEDULE tab above.
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 implication 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)