Spring 2014 Math 2270-002

# Math 2270-002 Linear Algebra

Time: Monday, Tuesday, Wednesday, and Friday, 2:00-2:50
Location: AEB 310 Monday, Wednesday, and Friday
LCB 215 Tuesday
Textbook: Introduction to Linear Algebra by Gilbert Strang

Syllabus

Sections 1.1-2.1 scans
Sections 2.2-2.4 scans
Sections 2.5-2.7 scans

Wednesday 1/15
Solutions

#### Homework 1:

Due Friday 1/17
• Section 1.1: 1, 3, 13
• Section 1.2: 2, 7ab, 9, 12, 19
• Section 1.3: 1, 7
• Section 2.1: 1, 3, 12, 17

Wednesday 1/22
Solutions

#### Homework 2:

Due Friday 1/24
• Section 2.1: 33
• Section 2.2: 4, 11, 13, 21
• Section 2.3: 3, 4, 8, 17, 25, 28
• Section 2.4: 1, 6, 12, 26, 32

Wednesday 1/29
Solutions

#### Homework 3:

Due Friday 1/31
• Section 2.5: 2, 9, 15, 23, 25
• Section 2.7: 1, 2, 7 (explain!), 19
• Suggestion for 2.5 #2: We can do better than guess and check. What do these matrices do to vectors? What undoes what they do?

Wednesday 2/5

#### Homework 4:

Due Friday 2/7
• Section 3.1: 1, 10, 17, 23
• Section 3.2: 1, 4, 15, 37
• Section 3.3: 12, 17a

Wednesday 2/12

#### Homework 5:

Due Friday 2/14
• Section 3.4: 1, 16, 21
• Section 3.5: 1, 5, 9, 23, 26
• Section 3.6: 2, 5, 11

Wednesday 2/19

#### Homework 6:

Due Friday 2/21
• Section 4.1: 5, 9, 11, 16, 26
• Section 4.2: 1, 2, 3

Wednesday 2/26

#### Homework 7:

Due Friday 2/28
• Section 4.2: 11, 17, 19
• Section 4.3: 1, 6, 12, 17

Wednesday 3/5

#### Homework 8:

Due Friday 3/7
• Section 4.4: 3, 6, 10, 13, 15, 18
• Section 5.1: 1, 7, 13

Wednesday 3/19

#### Homework 9:

Due Friday 3/21
• Section 5.2: 16, 19
• Section 5.3: 20, 21

Wednesday 3/19

#### Homework 10:

Due Friday 3/28
• Section 5.3: 1, 6, 14
• Section 6.1: 5, 9, 14, 21, 27
• Section 6.2: 2, 7

Wednesday 4/2

#### Homework 11:

Due Friday 4/4
• Section 6.1: 29
• Section 6.2: 8, 18, 20
• Section 6.4: 3, 4, 13, 18

Wednesday 4/9

#### Midterm #2

Friday 4/11
Review: Tuesday 4/8, 5 pm, AEB 340

#### Homework 12:

Due Friday 4/18
• Section 6.7: 6, 7, 14
• Section 7.1: 1, 9, 11, 14
• Section 7.2: 10, 11, 26
Course outline for final

(1/13) Some different cases for the ''row picture'' of a 3x3 matrix: 1 2 3 4 5
The row picture of a pretty generic 3x3 ''row picture'' from three angles: 1 2 3, and the same system after elimination, from the same angles: 1 2 3
Notice that, restricted to the green plane, the ''after elimination'' system looks like a 2x2 ''after elimination'' picture.
(2/10) To view these, download the .txt files and open them in the applet here.The standard basis in R^3. Any point in R^3 can be expressed, in a unique way, as a linear combination of the standard basis. Another basis in R^3. Again, any point in R^3 can be expressed in a unique way as a linear combination of the basis. A set of linearly dependent vectors in R^3. A basis for a two-dimensional subspace of R^3.
(3/31) The \$25,000,000,000 Eigenvector

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