Linear Algebra (MAT1.002) — self-study and exam-training system
Systems, matrices, determinants, vector spaces, inner products, linear maps, eigenvalues. Built from the course lectures, tutorial sheets, extra problems, mock tests and past finals. 439 questions with computed answers and worked explanations.
📖 Modules (slides)7 modules with USTH-style slide decks, worked examples and a textbook map.
📘 Chapter quizzes3 sets per chapter, 12 questions each, instant feedback and explanations.
⏱ Mock examsLinear Algebra Midterm (Ch. 1–4, 20 questions, 50 min) · Speed exam: 30 questions in 20 minutes · custom exams.
✍️ Written practiceEight real past finals (2018–2025) with full worked solutions, exam mode with timer and self-marking.
🗂 Practice bankAll 439 questions: filter by chapter, topic, level and source; written mode.
🧮 LabExact multi-method solvers: Gauss, Gauss–Jordan, Cramer, inverse, LU, Jacobi, eigen tools, Jacobian.
📚 Sources and coverageEvery document used, textbook map, errors found in the course materials.
Your progress
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How to train with this site
- Learn a module with its slides, your lecture slides and the textbook sections listed on each module page.
- Quiz it: do the three sets of that chapter. Read every explanation, also for the questions you got right. Use "Redo only the mistakes".
- Go deeper in the practice bank: tick written mode to hide the options, solve on paper, then compare with the model answer.
- Simulate the exams: the mock midterm (no going back), then the 30-question / 20-minute speed exam. Aim for 40 seconds per question and review every explanation afterwards.
- Repeat the weak chapters shown in the progress panel above until each is above 75%.
About the course (Course advice sheet by Nguyen Hai Long (AY 2025–26; lecturer Dao Quang Duc))
| Component | Weight | Details |
|---|---|---|
| Attendance | 10% | you are barred from the final if you miss more than 30% of sessions without a valid reason |
| Midterm | 30% | written test or MCQ on Moodle, depending on the tutorial lecturer; up to 6 bonus points from tutorials can be added to it |
| Final | 60% | written test, 120 minutes, 5 questions with 2–3 parts each; calculators are not allowed in the midterm and final (the 2023–24 Shift 1 paper allowed them) |
- Main textbook: Elementary Linear Algebra (8th edition) — the course content and many exercises come from it; Strang's book is better for review after you have learned the material.
- Vector spaces (chapter 4) is the make-or-break topic: eigenvalues, inner products and linear maps all depend on it.
- Calculations are easy but long and there is no calculator: practise exact fractions, and show every row operation.
Information of academic year 2025–26 only; check the official GED announcements for your year.