Assignment | Section # of Spence, Insel and Friedberg | Lecture Notes | Due Date | Problems in the assignment | Description / Hints |
Hwk 1 | Sec. 1.3 | Chapter 1 | Aug. 31 | 4, 46 | interpretation of rref |
Hwk 1 | Sec. 1.4 | Chapter 1 | Aug. 31 | 4, 8, 10, 48 | solving systems via Gaussian elimination |
Hwk 1 | Sec. 1.5 | Chapter 1 | Aug. 31 | 28 | application to circuits |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 1 at beginning of class on Monday 8-31-09. Solution should be posted on website after class. |
Hwk 2 | Sec. 1.2 | Chapter 2 | Sept. 7 | 6, 8, 12, 16 | matrix multiplication |
Hwk 2 | Sec. 2.1 | Chapter 2 | Sept. 7 | 10, 12, 14, 16, 50, 71 | matrix multiplication and applications |
Hwk 2 | Sec. 2.3 | Chapter 2 | Sept. 7 | 20, 24, 59 | elementary matrices and inverse matrix properties |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 2 at beginning of class on Monday 9-7-09. Solution should be posted on website after class. |
Hwk 3 | Sec. 2.4 | Chapter 2 | Sept. 14 | 8, 60, 67, 84 | how to find and use inverse matrices, similar matrix problem |
Hwk 3 | Sec. 3.1 | Chapter 3 | Sept. 14 | 20, 22, 24, 26, 76 | determinants |
Hwk 3 | Sec. 3.2 | Chapter 3 | Sept. 14 | 8, 66 | determinants and Kramer's Rule |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 3 at beginning of class on Monday 9-14-09. Solution should be posted on website after class. |
Optional Review | . | Chapters 1,2,3 | Sept. 22 | 6:50-7:50pm, Science Hall 105. | Review For Test I, see Study Guide for Test I for an overview of what is likely on the test I. |
Test I | . | . | Sept. 23 | . | see study guide for what's on test. Test starts 5 minutes before class, ends 5 minutes after. |
Hwk 4 | Sec. 1.6 | Chapter 4 | Sept. 28 | 4, 26, 30, 44, 69 | spanning sets |
Hwk 4 | Sec. 1.7 | Chapter 4 | Sept. 28 | 24, 36 | linear independence and dependence |
Hwk 4 | Sec. 2.3 | Chapter 4 | Sept. 28 | 68, 82 | column correspondence property |
Hwk 4 | Sec. 4.4 | Chapter 4 | Sept. 28 | 14, 28 | bases and coordinates |
Hwk 4 | Sec. 7.1 | Chapter 4 | Sept. 28 | 31 | spanning in vector space of polynomials |
Hwk 4 | Sec. 7.3 | Chapter 4 | Sept. 28 | 4 | linear independence in vector space of matrices |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 4 at beginning of class on Monday 9-28-09. Solution should be posted on website after class. |
Hwk 5 | Sec. 1.7 | Chapter 4 | Oct. 5 | 54 | general solution problem |
Hwk 5 | Sec. 4.1 | Chapter 4 | Oct. 5 | 20, 28, 82, 90 | subspaces; row, column and null space of a matrix. |
Hwk 5 | Sec. 4.2 | Chapter 4 | Oct. 5 | 6 | collumn and null space of a matrix |
Hwk 5 | Sec. 4.3 | Chapter 4 | Oct. 5 | 4 | dimension of subspaces associated with a matrix |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 5 at beginning of class on Monday 10-5-09. Solution should be posted on website after class. |
Hwk 6 | Sec. 2.7 | Chapter 5 | Oct. 12 | 4, 28, 60, 72 | linear transformations |
Hwk 6 | Sec. 2.8 | Chapter 5 | Oct. 12 | 24, 38, 88 | matrix of linear transformation, 1-1 property of linear transformation, invertibility of linear transformation |
Hwk 6 | Sec. 4.2 | Chapter 5 | Oct. 12 | 12 | finding a basis for null space and range of linear transformation |
Hwk 6 | Sec. 7.2 | Chapter 5 | Oct. 12 | 4 | linear transformaions on abstract vector spaces |
Hwk 6 | Sec. 7.3 | Chapter 5 | Oct. 12 | 66 | isomorphisms preserve linear independence |
Hwk 6 | Sec. 7.4 | Chapter 5 | Oct. 12 | 46a-b | linear transformaions on abstract vector spaces. |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 6 at beginning of class on Monday 10-12-09. Solution should be posted on website after class. |
Optional Review | . | Chapters 4,5 | Oct. 20 | 6:50-7:50pm, Science Hall 105 | Review For Test II, see Study Guide for Test II for an overview of what is likely on the test. |
Test II | . | . | Oct. 21 | . | see study guide for what's on test. Test starts 5 minutes before class, ends 5 minutes after. |
Hwk 7 | 6.1 | Chapter 6 | Oct. 26 | 4, 14, 38, 52, 87 | geometry of vectors in n-dimensions |
Hwk 7 | 6.2 | Chapter 6 | Oct. 26 | 14, 22 | orthogonal sets of vectors and dot products |
Hwk 7 | 6.3 | Chapter 6 | Oct. 26 | 2, 6 | orthogonal complements |
Hwk 7 | 6.2 | Chapter 6 | Oct. 26 | 63 | property of orthogonal matrices |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 7 at beginning of class on Monday 10-26-09. Solution should be posted on website after class. |
Hwk 8 | 6.5 | Chapter 6 | Nov. 2 | 39, 42 | orthogonal operators and rotations in 3-dimensions |
Hwk 8 | 6.4 | Chapter 6 | Nov. 2 | 2, 16, 38* | least squares fitting, closest vector solution, *you may use technology to do #38. |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 8 at beginning of class on Monday 11-2-09. Solution should be posted on website after class. |
Hwk 9 | 7.5 | Chapter 6 | Nov. 9 | 6, 12, 20, 47, 72 | inner product problems |
Hwk 9 | Sec. 5.2 | Chapter 7 | Nov. 9 | 14, 16, 38, 34 | find eigenvalues and eigenvectors. |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 9 at beginning of class on Monday 11-9-09. Solution should be posted on website after class. |
Hwk 10 | Sec. 5.1 | Chapter 7 | Nov. 16 | 66, 69, 73 | simple proofs on eigenvectors/values. |
Hwk 10 | Sec. 5.2 | Chapter 7 | Nov. 16 | 48 | complex eigenvalues/vectors |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 10 at beginning of class on Monday 11-16-09. Solution should be posted on website after class. |
Hwk 11 | Sec. 5.3 | Chapter 7 | Nov. 30 | 14, 22, 82 | diagonalization of matrices |
Hwk 11 | Sec. 5.4 | Chapter 7 | Nov. 30 | 9, 22, 26 | eigenvectors of linear operator and eigenbases |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 11 at beginning of class on Monday 11-30-09. Solution should be posted on website after class. |
Optional Review | . | Chapters 6,7 | Dec. 1 | 6:50-7:50pm, Science Hall 105. | Review For Test III, see Study Guide for Test III for an overview of what is likely on the test I. |
Test III | . | . | Dec. 2 | . | see study guide for what's on test. Test starts 5 minutes before class, ends 5 minutes after. |
Hwk 12 | n/a | Chapter 7 | Dec. 7 | click here for the homework problems | calculus of matrices and solving x' = Ax for constant matrix A. Material not treated in textbook, see my course notes for guidance. |
* * * | * * * | * * * | * * * | * * * | Turn in Hwk 12 at beginning of class on Monday 12-7-09. Solution should be posted on website after class. |
BONUS | 2.6 | N/A | 12-14-09 | 17-32 (16 problems) | LU-factorization of matrices. |
BONUS | 6.2 | N/A | 12-14-09 | 25-40 (15 problems) | QR-factorization of matrices. |
BONUS | 6.6 | N/A | 12-14-09 | 2-20(evens), 60, 66 | spectral decomposition of matrices, conic sections and rotations,postive definite property. |
BONUS | 6.7 | N/A | 12-14-09 | 2-10(even), 30-36(even), 38-46(even) | singular value decomposition of matrices. |
* * * | * * * | * * * | * * * | * * * | Turn in BONUS on (or before) 12-14-09 [ notice that you can think of this as a bonus homework, only 500pts are needed for your homework score yet this homework brings the total number of points to more than 500, I think 500+300, certain problems in this set are beyond the lectured material. Time will probably not allow for complete discussions of the various matrix factorization schemes] |
Final | Final | . | at official date | at official time | comprehensive |