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Concordia University · Montréal · selected course foundations
Concordia University MATH204 — Vectors and Matrices
Practise systems, matrix operations and Euclidean vectors, with selected eigenvalue exercises confirmed in the Fall 2026 outline. The full abstract theory and geometry are not reproduced. Check concentration-credit and prior-course restrictions.
16 original question families · 48 parameter instances
Practise this course →Course alignment and coverage
Current catalogue and public Fall 2026 outline checked 25 October 2026. These original exercises cover selected stated topics, not the section’s assignments, examination or weekly order.
Across this collection: 156 distinct original families and 468 parameter instances. Courses share topic banks; translations and shared mappings are not extra questions.
Supported learning objectives
Linear systems
Solve small two-variable systems, count a free variable and identify a singular parameter.
Matrix calculations
Compute selected sum/product entries, 2×2 determinants and an inverse entry.
Euclidean vectors
Calculate dot products, lengths, distances and a projection coefficient in two or three dimensions.
Small eigenvalue calculations
Find selected 2×2 eigenvalues, an eigenvector coordinate and a power trace from a supplied diagonalization.
What is not covered
Small real systems, matrix entries/determinants, Euclidean vector calculations and selected 2×2 eigenvalue examples only. No abstract vector-space proofs, complete basis/rank theory, general diagonalization, complex arithmetic, cross products or full line/plane geometry.
An original worked example
Solve x+y=5 and x-y=-1. Enter x only.
Worked solution
Answer: 2
- 2x=4.
- Thus x=2 and y=3; both original equations hold.
Official course sources
Independent, original, free self-study practice. Not affiliated with or endorsed by this university; these are not official exam questions. Topic alignment does not establish transfer credit, a current section’s weekly syllabus, full course coverage or a grade prediction. Follow your instructor’s rules and use official course materials for assessed work. No live AI chat or paid access is required.