Exam 1 Topics

Exam 1 will be on Wednesday, February 14 in our normal classroom. No calculators or textbooks will be allowed. You are, however, allowed to bring one handwritten page of notes (front and back) of your own creation to reference.

There are practice problems from a colleague with solutions here. I have also posted a copy of last semester’s first exam on Canvas.

In addition to the review problems above, also do review the homework. We’ve had homework 1,2,3 so far. I’d also encourage you to take a look at homeworks 1,2,3 from my previous section. There are also solutions to most odd-numbered problems in the book.

This is not guaranteed to be an absolute list of all topics covered so far, but I hope it may help you to guide your study.

Topics

Systems of linear equations
Gaussian elimination
Row echelon and Reduced row echelon forms
Using pivots of (reduced) row echelon matrices to express solutions and how many solutions a system of linear equations has.
Row operations and elementary matrices
Column vectors in \(\mathbb R^n\)
Adding and scaling column vectors
Linear transformations: \(L(r\vec u + s\vec v) = rL(\vec u) + sL(\vec v)\)
Is a function linear or not?
Expressing linear transformations as matrices
Matrix multiplication
Matrix properties
Inverse matrices