# Math3043 Homework

Note

The assigned homework is bare minimum and is far from sufficient for understanding the material. You are encouraged to do all the exercises. My answer to the homework will include almost all the exercises.

Homework 1

Due on Thursday, Sept 15, by 18:00, in the collection box next to math general office.

6.2, 6.4, 6.5, 6.7, 6.11, 6.15, 6.17, 6.18, 6.23 (4), 6.24 (2, 5, 8), 6.25, 6.31 (1, 4), 6.34, 6.36, 6.39, 6.41 (1), 6.46, 6.48, 6.51, 6.52, 6.54

Homework 2

Due on Friday, Sept 23, by 18:00, in the collection box next to math general office.

6.59, 6.61, 6.64, 6.65, 6.69, 6.70, 6.73, 6.76, 6.91 (similar to the second part of proof of Theorem 6.3.8), 6.92, 6.94, 6.96

Multilinear Algebra

Homework 3

Due on Friday, Sept 30, by 18:00, in the collection box next to math general office.

8.2, 8.4, 8.5, 8.7, 8.11, 8.14, 8.15 (3), 8.16, 8.21, 8.24, 8.25, 8.27, 8.29, 8.30, 8.36, 8.37, 8.39, 8.40

Homework 4

Due on Friday, Oct 14, by 18:00, in the collection box next to math general office.

8.44, 8.47, 8.48 (3), 8.49 (2), 8.52 (1, 3), 8.54, 8.56, 8.57, 8.58, 8.64, 8.66, 8.67, 8.70, 8.73, 8.74, 8.76 (1), 8.77, 8.81, 8.82

Homework 5

Due on Friday, Oct 21, by 18:00, in the collection box next to math general office.

8.84 (3), 8.85 (2), 8.86 (1), 8.88 (for 8.84(3) and 8.85(2)), 8.90, 8.91, 8.93 (3), 8.95, 8.99 (for 8.93(3)), 8.100, 8.101, 8.112 (1, 4), 8.123, 8.127 (study only the case the L2-norm of σ is 1)

Homework 6

Due on Friday, Oct 28, by 18:00, in the collection box next to math general office.

9.6, 9.8, 9.11, 9.15 (2), 9.17, 9.18, 9.22, 9.26, 9.27, 9.30, 9.31, 9.34, 9.38 (2), 9.39 (2), 9.40, 9.42, 9.47, 9.49,

The exercises in Chapter 9 are closely related, and are carefully arranged in logical order (e.g., you may use 9.9 and 9.10 to prove 9.11). Ideally, you should do all the exercises in order. If you do not have enough time, at least you should read all the previous exercises and understand the meaning.

Homework 7

Due on Friday, Nov 11, by 18:00, in the collection box next to math general office.

10.1, 10.4, 10.6 (Ex.9.34 should be 9.32), 10.7, 10.12, 10.13, 10.15, 10.18, 10.19, 10.20, 10.22, 10.24, 10.29, 10.31, 10.35, 10.38, 10.40, 10.42

Homework 8

Due on Friday, Nov 18, by 18:00, in the collection box next to math general office.

11.2, 11.3, 11.7, 11.10, 11.12, 11.16, 11.17, 11.19, 11.22