Math 4153/5053 Spring 2022 Written Homework

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The homework is submited on gradescope.

Remember there is also the electronic homework on WeBWorK, don't forget about that.

Homework 1 (due on Friday January 21, 11pm)

The following problems should be handed in. I highly recommend doing or at least trying all the other problems in the secions we cover.

6.1: 6.1.5, 6.1.6, 6.1.10, 6.1.11
6.2: 6.2.4, 6.2.12, 6.2.14

Homework 2 (due on Friday January 28, 11pm)

6.3: 6.3.6, 6.3.9
7.6: 7.6.1, 7.6.6, 7.6.9
8.1: 8.1.3, 8.1.4, 8.1.7

Homework 3 (due on Friday February 4, 11pm)

8.1: 8.1.6, 8.1.9, 8.1.10, 8.1.12, 8.1.15
8.2: 8.2.1, 8.2.4, 8.2.6

Homework 4 (due on Friday February 11, 11pm)

8.2: 8.2.2, 8.2.8, 8.2.10, 8.2.11, 8.2.15
A better hint for 8.2.15: Hint: One way to do it is to first prove it in the case \(\|A\|=1,\) which means that all columns are of norm less than 1, then prove that this means that \(|\det(A)| \leq 1\) using linearity.

Homework 5 (due on Sunday February 27, 11pm)

8.3: 8.3.1, 8.3.2, 8.3.4, 8.3.5, 8.3.6, 8.3.9, 8.3.11, 8.3.14

Homework 6 (due on Friday March 4, 11pm)

8.4: 8.4.1, 8.4.4, 8.4.5, 8.4.8, 8.4.9, 8.5.3, 8.5.4

Homework 7 (due on Friday March 18, 11pm)

8.5: 8.5.2, 8.5.3, 8.5.10

9.1: 9.1.2, 9.1.4, 9.1.6

Homework 8 (due on Sunday March 27, 11pm)

10.1: 10.1.1, 10.1.2, 10.1.10, 10.1.11

10.2: 10.2.8, 10.2.9

Homework 9 (due on Friday April 1, 11pm)

10.2: 10.2.5

10.3: 10.3.2, 10.3.3, 10.3.7

Homework 10 (due on Sunday April 17, 11pm)

10.4: 10.4.1, 10.4.3, 10.4.6

10.5: 10.5.1, 10.5.3

Homework 11 (due on Friday April 29, 11pm)

11.1: 11.1.5, 11.1.9

11.2: 11.2.8, 11.2.10

11.8: 11.8.1, 11.8.7