📚 Resources

Here, we’ll provide links to past exams, as well as other materials online that contain practice problems and alternative explanations of the course material. Find anything that you think is helpful or interesting? Let us know and we’ll add it here.

Past Exams

Note that the midterm exams in Fall 2025 were 80 minutes long and administered in lecture, while the midterm exams in Winter 2026 will be 120 minutes (2 hours) long and administered in the evenings. This change was made to give students more time to complete the exam; we plan on making the midterms roughly the same length as they were in Fall 2025.

SemesterMidterm 1Midterm 2Final Exam
Fall 2025Exam, SolutionsExam, SolutionsExam, Solutions coming soon
Mock ExamsExam, SolutionsExam, SolutionsIn lieu of a mock Final Exam, we provided these Post-Midterm 2 practice problems

Textbooks

Note that some of these resources will use different notation and terminology than we do in the course. Some examples include:

  • the image of a matrix \(A\), \(\text{im}(A)\), which we call the column space of \(A\), \(\text{colsp}(A)\).
  • the kernel of a matrix \(A\), \(\text{ker}(A)\), which we call the null space of \(A\), \(\text{nullsp}(A)\).
  • the nullity of a matrix \(A\), \(\text{nullity}(A)\), which we call the dimension of the null space of \(A\), \(\dim(\text{nullsp}(A))\).

The one textbook that I’ve referenced the most while developing EECS 245 is Introduction to Linear Algebra by Gilbert Strang. (The textbook itself isn’t free, but this link contains links to several chapters and old exams.) You can find many of his videos online.

The following textbooks are more similar in style to our course notes, in that they’re (somewhat) designed from the perspective of machine learning.

Practice Problems

Linear Algebra

Linear Regression and Machine Learning