(week 3, continued) Problem 1.3.18: The line L passes through the point P = (1, -1, 1) and has direction vector d = [2, 3, -1]. For each of the following planes, determine whether L and the plane are parallel, perpendicular or neither. Solution: If t
Math 43, Fall 2007 B. Dodson Hour Exams: Exam 1 will be on Friday, October 12; and Exam 2 will be on Wednesday, November 14, at our regularly scheduled class time, 11:10-12:00. Week 2: Finish suggested homework 1, consisting of the problems on graded
Math 43, Survey of Linear Algebra Fall 2007 B. Dodson
2
1. Course Info 2. Week 1 Homework: first day Graded homework 1 will be due and collected on Monday, Sept. 3, consisting of pg. 56 - #3 and pg. 26 - #20 (show your work, not just the answer). S
Math 43, Fall 2007 B. Dodson Week 4: See homework schedule, attached. We solve systems of linear equations by replacing the system with the augmented matrix of the system, and applying elementary row operations. There are three elementary row operati
Math 43, Fall 2007 B. Dodson Week 5: Problem 1. For the system x + y + z - w = 3, 2x + 4y - 3z + 7w = 2 determine the coef. matrix A, and the augmented matrix A|b . Solve the system using elemenary row operations, and write the solution in vector for
Math 43, Fall 2007 B. Dodson Week 5: Spanning, Independence and Bases Is the vector b = [3, 3, 4] a linear combination of v1 = [1, -1, 2], v2 = [2, 1, 3]? Solution 3 1 2 We have 3 = c1 -1 + c2 1 4 2 3 1 2 c = -1 1 1 , where we use mat
Math 43, Fall 2007 B. Dodson Week 5: Spanning, Independence and Bases Is the vector b = [3, 3, 4] a linear combination of v1 = [1, -1, 2], v2 = [2, 1, 3]? Solution 3 1 2 We have 3 = c1 -1 + c2 1 4 2 3 1 2 c = -1 1 1 , where we use mat
Math 43, Fall 2007 B. Dodson Week 6: Recall that the graded homework has been postponed to Wednesday, after the break. See the Text Examples 2.27 and 2.28 for the method used on graded homework 6. Section 2.4 will NOT be covered on Friday's exam. Roo
Math 43, Fall 2007 B. Dodson Week 8: Problem 3.2.32 Find the inverse of the elementary matrix E = Solution: Left multiplication by E does the 3rd elementary row operation R1 R1 + 2R2 . (check) To undo this row operation, we subtract 2R2 from the fir
Math 43, Fall 2007 B. Dodson Week 9: Monday: Finish Suggested Hw8, start on Hw9 material 1. Determinants 2. Properties of Dets 3. Eigenvalues and Eigenvectors (2-by-2 in 4.1; then n-by-n in 4.3) - 2 We compute det 4 9 1 5 2 3 using the 5 1
(firs
Math 43, Fall 2007 B. Dodson Week 12: Finish suggested homework 10, . . . Graded Homework 12: Section 3.7 - 2, 4; and 4.6 - 7, 11, pg. 356; due Wed. Dec. 5 From 4.6 we will ONLY cover pp. 322-326 (Markov chains) and pp. 327-329 (population growth). -
Math 43, Survey of Linear Algebra Fall 2007 B. Dodson
1. Course Info 2. Week 1 Homework: first day Graded homework 1 will be due and collected on Monday, Sept. 3, consisting of pg. 56 - #3 and pg. 26 - #20 (show your work, not just the answer). Sugg
MATH 43
Homework (3rd version)
Fall, 2007
Hour Exams: Exam 1 will be on Friday, October 12; and Exam 2 will be on Wednesday, November 14, at our regularly scheduled class time, 11:10-12:00; in Williams 301. Graded homework 1: due and collected on
MATH 43
Solutions to 4th Quiz
September 19, 2007
NAME: (Last, First) 2. Find the system of equations with the aumented matrix (New instructions: Do solve the system!) This matrix is a "reduced row echelon" matrix. We're supposed to be able to solv
MATH 43
Homework (2nd version, updated)
Fall, 2007
Hour Exams: Exam 1 will be on Friday, October 12; and Exam 2 will be on Wednesday, November 14, at our regularly scheduled class time, 11:10-12:00. Graded homework 1: due and collected on Monday,
MATH 43
5th Quiz (take-home)
due: September 26, 2007
NAME: (Last, First) 1. Use Gauss-Jordan elimination to solve the following system. Include a clearly identified reduced row echelon matrix for the coefficient matrix; and a statement identifying
Math 43, Fall 2007 B. Dodson Hour Exams: Exam 1 will be on Friday, October 12; and Exam 2 will be on Wednesday, November 14, at our regularly scheduled class time, 11:10-12:00. Week 2: Finish suggested homework 1, consisting of the problems on graded
Math 43, Fall 2007 B. Dodson Week 9: Monday: Finish Suggested Hw8; start on Hw9 material 1. Determinants 2. Properties of Dets 3. Eigenvalues and Eigenvectors
2
2 We compute det 4 9
1 2 5
5 3 using the 1
(first) row expansion (by minors):
Math 327
Policy Statement
Fall, 2007
1. Instructor: B. Dodson, Room 207 XS, Phone x8-3745, Email bad0. 2. Text: Dummit-Foote, Abstract Algebra, 3rd. Edtn. Selected portions of Chapters 1-9 will be covered. There will be additional material handed
Math 43, Fall 2007 Week 12: Finish suggested homework 10, . . .
Graded Homework 12: Section 3.7 - 2, 4; and 4.6 - 7, 1 pg. 356; due Wed. Dec. 5 From 4.6 we will ONLY cover pp. 322-326 (Markov chains) and pp. 327-329 (population growth).
2
Finally,
MATH 43
Policy Statement
Fall, 2007
1. Instructor: B. Dodson, Room 207 XS, Phone x8-3745, Email bad0. 2. Text: Poole, Linear Algebra: A Modern Introduction, 2nd Edtn. Selected portions of Chapters 1 - 5, plus Section 7.3 will be covered. 3. Attend