Past quizzes
In-class Quiz 0
In-class Quiz 1 (Wed, Sep 23, 2020)
There will be one “free” question (for showing up) and four linear algebra questions. The linear algebra questions are designed so that you don’t need to use a calculator (although calculators may be used).
Study Guide
- Lectures 3a to 5b:
- Suggested practice for lecture 3:
- Section 2.1, pg 44, Exercises 2, 3, 8, and 16. (A matrix is called symmetric if it is equal to its transpose)
- Section 2.2, pg 62-63 Exercises 2 and 10
- Suggested practice for lecture 4: Section 2.3, pg 77-78 Exercises 3, 6, 16
- Suggested practice for lecture 5: Section 2.4 (inverses), pg 91-92, 94 Exercises 1, 4, 6, and 28
- Review Week 2/3 worksheet questions that you missed
- Review reading hw 3a to 5b that you missed
Individual quiz
In order to take this in-class quiz, you must be present on Zoom, with a camera on. You have until 8:38am or 15 minutes, whichever is earlier.
- Calculators, Desmos, and similar computing software are OK
- Prepare to not have the textbook or notes (but it’s not against the rules to have them)
- No internet/technology (except for Zoom, taking the online quiz, and using the calculator)
- No communicating with anyone during the quiz (the instructor)
Group quiz
(You are encouraged to take the group quizzes, but they are technically optional. At the end of the semester, if your group quiz average is lower than your individual quiz average, the group quizzes will not be part of your grade.)
QUIZ 2 (Wed, Nov 11)
Based on Lecture 9b, 10, 11 (not 12)
The computation questions will be designed so that you don’t need to use a calculator (although calculators may be used).
Study Guide
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Questions from practice quiz activity on Monday, November 9 — when you save your answer, it should tell you if your answer is correct/incorrect
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Questions from class session Monday, October 26 + key
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Make a cheat sheet. Put all definitions there to save time during the quiz.
- Lecture 9b
- Definition: Given a matrix A, the linear transformation of A is defined by …
- A possible input of the linear transformation of A is a vector of size …
- A possible output of the linear transformation of A is a vector of size …
- Exercise 2a and 2b (Computation)
- Knowing that the following are linear transformation in 2D: rotation around the origin, reflection across a line through the origin, projection onto a line through the origin.
- Exercise 4 (knowing that a translation is not a linear transformation)
- Lecture 10a
- Given a matrix A, find the domain of the linear transformation of A
- Given a matrix A, find the target of a linear transformation of A
- Knowing the meaning of the phrase “f preserves addition” for a function f
- Knowing the meaning of the phrase “f preserves scalar multiplication” for a function f
- Knowing the meaning of the phrase “f preserves linear combinations” for a function f
- Exercise 1 (Knowing that this function is not a linear transformation)
- Exercise 2 (Knowing how to take advantage of the fact that linear transformations preserve linear combinations)
- Theorem 1, knowing statements that are equivalent to a function being a linear transformation (memorize it, but also put on your cheat sheet)
- Lecture 10b
- Definition of standard basis vectors
- Exercise 3 (Given the definition of a function known to be a linear transformation, compute the corresponding matrix)
- Lecture 11a
- Definition of subspace of vectors
- Knowing the meaning of the phrase “S is closed under addition” for a subset S
- Knowing the meaning of the phrase “S is closed under scalar multiplication” for a subset S
- Definition of the kernal of a matrix
- Definition of the image of a matrix
- Knowing that the kernel of a matrix is a subspace
- Knowing that the solution set to a homogeneous system of linear equations is a subspace
- Knowing that the image of a matrix is a subspace
- Exercise 1 (Knowing that a subspace of vectors must contains the zero vector)
- Exercise 2 (Given a matrix A and a vector v, check whether v is in the kernel of A)
- Exercise 3 (Given a matrix A and a vector v, check whether v is in the image of A)
- List of past reading homework questions
Individual quiz
In order to take this in-class quiz, you must be present on Zoom, with a camera on. You have until 8:38am or 15 minutes, whichever is earlier. If the quiz closes before you save an answer, you can send me a message on chat right away with your answer.
- Paper cheat sheets are recommended
- Calculators are OK
- Prepare to not have the textbook or lecture notes (but it’s not against the rules to have them)
- No internet/technology (except for Zoom, taking the online quiz, and using the calculator)
- No communicating with anyone during the quiz (the instructor)
Group quiz
(You are encouraged to take the group quizzes, but they are technically optional. At the end of the semester, if your group quiz average is lower than your individual quiz average, the group quizzes will not be part of your grade.)