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University of Ottawa · Ottawa

University of Ottawa MAT1341 / MAT1741 — Introduction to Linear Algebra

Review systems, matrices and Euclidean projections in one shared English/French pathway. Abstract vector-space theory and orthogonalization remain outside these short sets.

12 original question families · 36 parameter instances

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Course alignment and coverage

Current public English/French course descriptions checked on 25 October 2026. Language-coded counterparts share one independent practice pathway; this is not a transfer-credit or section-equivalence determination. Current weekly section plans remain unverified.

Across this collection: 140 distinct original families and 420 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.

What is not covered

Small numerical systems, matrix entries, determinants and vector calculations only. Abstract proofs, bases/dimension, general linear transformations, complex arithmetic, eigenvalues/diagonalization, Gram–Schmidt, cross products and complete line/plane geometry 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.