MATH 3130, section 003: linear algebra
Prof. Monk
Fall 2013



UPDATED ON DECEMBER 2: three notes added
UPDATED ON DECEMBER 12: solutions for assignments 11, 12
Syllabus

Assignments

Assignment 1, due Wednesday, Sept. 4: sect. 1.1: 2, 4, 12, 14, 20, 24; sect. 1.2: 4, 14, 16, 20, 22; sect. 1.3: 6, 10, 12, 14, 24.
Assignment 2, due Wednesday, Sept. 11: sect. 1.4: 6, 8, 10, 12, 16, 22, 24; sect. 1.5: 6, 12, 18, 24, 25; sect. 1.6: 4, 6, 12.
Assignment 3, due Friday, Sept. 20: sect. 1.7: 2, 6, 10, 18, 22, 26; sect. 1.8: 6, 10, 16, 20, 22; sect. 1.9: 4, 8, 20, 24.
Assignment 4, due Friday, Sept. 27: sect. 2.1: 2, 10, 12, 16, 20, 24, 33; sect. 2.2: 4, 8, 14, 20, 25, 26, 31; sect. 2.3: 4, 16, 18, 28, 36.
Assignment 5, due Friday, Oct. 4: sect. 3.1: 14, 16, 38, 40; sect. 3.2: 8, 12, 18, 22, 24, 32, 40; sect. 3.3: 6, 10, 16, 22, 24.
Assignment 6, due Wednesday, Oct. 16: sect. 4.1: 8, 16, 18, 22, 32, 33, 34; sect. 4.2: 6, 16, 24, 30, 32, 36; sect. 4.3: 4, 10, 12, 16, 26, 32.
Assignment 7, due Wednesday, Oct. 23: sect. 4.4: 4, 6, 10, 14, 26, 32; sect. 4.5: 6, 12, 18, 22; sect. 4.6: 4, 10, 14, 20, 22.
Assignment 8, due Wednesday, Oct. 30: sect. 4.7: 6, 10, 14; sect. 5.1: 4, 8, 14, 24, 27, 28; sect. 5.2: 6, 12, 16, 18, 20.
Assignment 9, due Wednesday, Nov. 6: sect. 5.3: 4, 12, 26, 32; sect. 5.4: 4, 8, 10, 18, 20; exercises on complex numbers here
Assignment 10, due Monday, Nov. 18: sect. 5.5: 6, 10, 18, 23, 24; sect. 6.1: 6, 14, 24, 28, 30; sect. 6.2: 10, 14, 27, 28, 32.
Assignment 11, due Wednesday, Dec. 4: sect. 6.3: 4, 10, 14, 18, 24; sect. 6.4: 6, 12, 16, 20, 22; sect. 6.5: 4, 8, 12, 16.
Assignment 12, due Wednesday, Dec. 11: sect. 7.1: 8, 22, 32, 34; sect. 7.2: 4, 8, 12, 20, 26.

Solutions

Solutions for assignment 1
Solutions for assignment 2
Solutions for assignment 3
Solutions for assignment 4
Solutions for assignment 5
Solutions for assignment 6
Solutions for assignment 7
Solutions for assignment 8
Solutions for assignment 9
Solutions for assignment 10
Solutions for assignment 11
Solutions for assignment 12

Notes

Proof of uniqueness of row-reduced matrix
Full proof of Theorem 5 on page 39
Note on the proof of Theorem 8 on page 112
On Theorem 1, page 166
Proof of (3) on page 173
Proof of Theorem 15, page 240
Proof of Theorem 7, page 285
On the warnings on page 277
A theorem of Schur
Proof of Theorem 3, page 397

Tests

Review session for test1: Friday, October 4 during regular class
Review sheet for test 1
Practice test for test 1
Solutions for practice test for test 1
Solutions for test 1
Review session for test2: Wednesday, November 6 during regular class
Review sheet for test 2
Practice test for test 2
Solutions for practice test for test 2
Solutions for test 2
Review sessions for final: Wednesday Dec. 11 and Friday Dec. 13 during regular class
Review sheet for final
Practice test for final
Solutions for practice test for final