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York University · Keele · applied linear algebra
York University SC/MATH1025 — Applied Linear Algebra I
Build small-system, matrix, vector and eigenvalue calculations for York’s one-term science/engineering route. MATH1021 is a different, excluded course.
16 original question families · 48 parameter instances
Practise this course →Course alignment and coverage
Current official public course description checked 25 October 2026. No current section-level or weekly syllabus was publicly verified; topic alignment below does not claim a teaching sequence or assessment coverage.
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.