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Linear Algebra I

Exam prep

Print a unit's problems with full solutions, or sit a practice final that covers the whole course.

Study packets

  1. Unit 1 · 50 problems Free with an account

    Vector spaces, subspaces, sums, and direct sums

  2. Unit 2 · 50 problems

    Linear independence, bases, and dimension

  3. Unit 3 · 50 problems

    Linear maps, kernels, images, and rank-nullity

  4. Unit 4 · 50 problems

    Quotient spaces and universal factorization

  5. Unit 5 · 50 problems

    Dual spaces, annihilators, and transpose maps

  6. Unit 6 · 50 problems

    Alternating forms and determinant structure

Packets and practice finals are for your own study. They do not count as Training attempts.