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Western University · London · selected A/B foundations

Western University MATH1600A/B — Linear Algebra I

Practise the first numerical steps in Western’s Fall 2026 linear-algebra outline: systems, matrices, vectors and selected eigenvalue calculations.

16 original question families · 48 parameter instances

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Course alignment and coverage

Public Fall 2026 A-section outline checked 25 October 2026. A/B share this independent foundations route; another section or winter offering may differ. No equivalence or complete weekly coverage is asserted.

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. Markov chains and the course’s proof/definition expectations are not covered.

An original worked example

Solve x+y=5 and x-y=-1. Enter x only.

Worked solution

Answer: 2

  1. 2x=4.
  2. Thus x=2 and y=3; both original equations hold.
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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.