# MATH 102 Applied Linear Algebra

## Homework Assignments

### Homework 1: Due Thurs., Aug 6, 6 pm

• Section 1.3: 6, 20
• Section 1.4: 5, 10, 18, 22, 33, 57
• Section 2.1: 5, 10

### Homework 2: Due Tue., Aug 11, 6 pm

• Section 1.5: 34
• Section 1.6: 4, 6, 22, 50, 56
• Section 2.1: 8
• Section 2.2: 24, 25

### Homework 3: Due Thurs., Aug 13, 6 pm

• Section 1.5: 7
• Section 1.6: 17
• Section 1.7: 1, 3
• Section 2.1: 21, 24
• Section 2.2: 33, 68
• Section 2.3: 6
• Multiply the L D U matrices we found in class on Monday to check whether their product is our 3 x 5 matrix A. (Ask a friend if you did not write down the matrices.)

### Homework 4: Due Tues., Aug 18, 6 pm

• Section 2.3: 16, 22 (explain with examples)
• Section 2.4: 2, 6, 17, 24, 32, 38

See attached

See attached

### Homework 7: Due Thur., Aug 27, 6 pm

• Section 3.4: 6, 16, 17, 29, 32
• Section 3.5: 4, 6, 9, 14

### Homework 8: Due Tues., Sep 1, 6 pm

• Section 3.5: 19, 20
• Section 4.2: 4, 10
• Section 4.3: 5, 16
• Section 5.1: 5, 8, 9, 14

### Practice Problems:

These are some problems which you can use to practice the content we have discussed since Homework 8.
• Section 3.5: 7, 8
• Section 5.1: 34
• Section 5.2: 1, 3, 7
• Section 5.3: 4, 25
• Section 5.4: 1 ( Note: exp(At) = S exp(Lambda t) S-inverse )
• Section 5.5: 7, 9
• Section 6.3: 1, 2, 5
The review exercises at the end of each chapter are also a good source of practice problems.