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MATH 2220 Linear Algebra

Welcome to MATH 2220: Linear Algebra, this Fall 2025!

For the most up-to-date content, please refresh the page at each visit!

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  • For All On-Campus Emergencies 978-934-4911 (ext. 44-911 from any campus land line)
  • For off campus emergencies, dial 911.

Class handouts and notes

Week 12 Thurs (Nov 18-20)

  • Thurs: Sec 8.1
  • Tue: Exam 3, see study guide on Blackboard (no lecture on exam day)

Week 11 Thurs (Nov 13)

  • Thurs: Sec 7.4 The singular value decomposition
  • University is closed on Tue

Week 10 Tue and Thurs (Nov 4-6)

  • Thurs: Sec 7.1 Diagonalization of symmetric matrices, notes

  • Tue: Review of diagonalization (Chapter 5) mainly Sec 5.1-5.3 and 5.5, notes

Week 9 Tue and Thurs (Oct 28-30)

  • Thurs: Sec 6.5 Least-squares problems, notes and Quiz 4

  • Tue: Sec 6.4 The Gram-Schmidt Process, notes

Week 8 Tue and Thurs (Oct 21-23)

  • Thurs: Sec 6.3 Orthogonal projections, My lecture notes for Sec 6.3: Example 1, Theorem 8 (Orthogonal decomposition theorem), Theorem 9 (The best approximation theorem), Example 4, Example 5 (Pattern detection pg 396-397).
  • Tue: Exam 2, see study guide on Blackboard (no lecture on exam day)

Week 7 Tue and Thurs (Oct 14-16)

  • Thurs: Sec 6.2 Orthogonal sets, notes
  • Tue: Sec 6.1 Inner product, length, and orthogonality, notes

Week 6 Tue and Thurs (Oct 7-9)

  • Thurs: Sec 4.6 Change of basis, notes, Quiz 3
  • Tue: Sec 4.5 The dimension of a vector space, notes

Week 5 Tue and Thurs (Sep 30, Oct 2)

  • Thurs: Sec 4.4 Coordinate systems, notes
  • Tue: Sec 4.3 Linearly independent sets; bases, notes

Week 4 Tue and Thurs (Sep 23-25)

  • Thurs: Exam 1, see study guide on Blackboard (no lecture on exam day)
  • Tue: Sec 4.2 Null spaces, column spaces, row spaces, and kernel and range of linear maps, notes

Week 3 Tue and Thurs (Sep 16-18)

  • Thurs: Sec 4.1 Vector spaces and subspaces, slides/handout and notes
    • My lecture videos on Vector spaces and subspaces from a past online linear algebra course: video part a and video part b
  • Tue: Sec 2.2 The inverse of a matrix and 2.3 The invertible matrix theorem, notes, Quiz 2

Week 2 Tue and Thurs (Sep 9-11)

  • Thurs: Sec 1.9 The matrix of a linear transformation, handout and notes, Quiz 1
  • Tue: Sec 1.8 Introduction to linear transformation, notes

Week 1 Thurs (Sep 4)