Quizzes (linear algebra)

Quizzes

Quizzes in linear algebra are generally three or four questions in length but on similar topics and serve as practice for that subject material for the next test.

Sample

Here is the first quiz from Fall 2007 (note that you need to click on the given links to see the matrices mentioned in a problem until some other, more advanced, features of our wiki are enabled):

Math 7

Fall 2007

Quiz 1.1

1. For what values (if any) of h is the matrix below the augmented matrix of a consistent linear system? Explain/justify your answer.

[1]

2. What would you have to know about the pivot columns in an augmented matrix in order to know that the linear system is consistent and has a unique solution?

3. Given the following matrices, let W be the set of all linear combinations of the columns of A. Is b in W? Justify/explain your answer.
[2] [3]

4. Given the following matrix, do its columns span R⁴? Support your answer. [4]

--Draulston 13:00, 18 August 2008 (CDT)