To prepare for the final, I have some suggestions for practice problems on the sections you did not have homework. I really like the bolded questions.
     Section 4.5: 1, 5, 11, 15, 17, 19, 21, 25
     Section 4.7: 5, 7, 11, 15, 17, 26, 27, 29
     Section 4.8: 1, 3, 15, 21
     Section 4.Supp (p. 350): 2, 3, 5, 6, 7, 13
     Section 4.Concep (p. 351): 1, 2, 6, 7, 8, 11, 14 (Solutions)

If you are looking for even more practice, I can point you here with solutions here. These are good questions to practice; I have borrowed them from a friend so they are not my wording. I will not make you do Gram-Schmidt on the final.
The final will likely be about 8 problems + 8 quick questions in length. (Add together a quiz and the midterm...)

Quiz 3 Solutions are now posted in (pdf).

To practice for the quiz, I suggest at least doing the homework below from Sections 4.1 and 4.2.

     Section 4.1: 3, 4, 10, 15, 17, 19
     Section 4.2: 2, 3, 13, 14, 22, 25, 27, 29
     Section 4.3: 1, 4, 13, 14, 19, 23, 25, 27, 28
     Section 4.4: 3, 8, 9, 18a, 22, 25, 27ab

      About Quiz 3: (on Wednesday 12/1) The quiz will take the first 30 minutes at the beginning of class. The quiz will cover sections 3.7-3.9 and 4.1-4.2 in the textbook. There will be one question about fitting data to a polynomial, one question about finding the eigenvalues and eigenvectors of a matrix, and more QuAQ's.
      The key words for the quick answer questions include linear transformation, identity transformation, zero transformation, null space, range, nullity, and rank of a transformation, least squares solution to a system of equations, residual vector, overdetermined system, normal equations, full rank matrix, rank deficient matrix, best least squares approximation to a vector v, eigenvalue, eigenvector, The Eigenvalue Problem, determinant, minor matrix of a matrix, minor of a_ij, cofactor, signed minor, cofactor expansion, Theorems 3 and 4 in Chapter 4

     Section 3.7: 18, 21, 28, 29, 35
     Section 3.8: 1, 3, 4, 9, 11, 12
     Section 3.9: 1, 3, 8, 11, 16
     Conceptual Exercises: (p 269) 21, 22, 23
     Additional Problem A: If w* in W is the best approximation to v in R^n, we decided
          that (v-w*) is perpendicular to every vector in W. Use this fact to prove that
          ||v-w||^2=||v-w*||^2+||w^*-w||^2 for every w in W, using the definition of ||x||.

Remember we changed our schedule for the rest of the quarter because of Thanksgiving.
The updated schedule can be found here.

     Section 1.8: 1, 4, 5
     Section 3.6: 13, 14, 19
     Section 3.7: 1, 3, 4, 9, 10

Exam Solutions are now posted in (pdf).

To prepare for the midterm, I have some suggestions for practice problems. I especially encourage you to make it to the Supplementary and Conceptual questions I list.
     Section 3.4: 31, 33, 34
     Section 3.5: 7, 9, 13, 17, 18, 23, 27a, 30, 34, 40
     Section 3.6: 2, 5, 10, 11, 13, 15, 17, 21, 23, 28
     Section 3.Supp (p. 266): 3, 4, 5, 8
     Section 3.Concep (p. 268): 3, 4, 5, 6, 13, 14

If you are looking for even more practice, I can point you here with solutions here. These are good questions to practice but the midterm will probably have a different structure.

There are two types of homework problems this week. Those you need to know how to do and those that you need to know how to do and turn in, too.
Do these homework problems: (but do not turn in.)
     Section 3.1: 20, 21, 22, 23
     Section 3.2: 3, 6, 8
     Section 3.3: 1, 7, 9, 15, 19
TURN IN these homework problems
     Section 3.2: 9, 11, 18, 28
     Section 3.3: 20ab, 25, 34, 35, 40i,ii, 50
     Section 3.4: 1, 9ab, 11, 17, 23, 28, 36, 37.

Quiz 2 Solutions are now posted in (pdf).

      Section 1.7: 6, 12, 20, 26, 30, 38, 46, 50, 51
      Section 1.9: 4, 8, 14, 16, 25, 27, 38, 40, 49, 51, 54, 67
      Chapter 1 Supplemental Exercise 4, 9b, 10, 13
Skim Chapter 2, and read anything that looks unfamiliar.

Quiz 1 Solutions are now posted in (pdf).
Selected Homework 2 & 3 Solutions are now posted.
(HW2_1) (HW2_2) (HW3_1) (HW3_2)

      About Quiz 2: The quiz will take the first 30 minutes at the beginning of class. The quiz will cover sections 1.5-1.9 in the textbook. There will be one question about linear independence of a set of vectors, one question about inverses of 2x2 matrices, and more QuAQ's.
      The key words for the quick answer questions include matrix sum and product, matrices being equal, n-dimensional vector, vector form for general solution, dot product, matrix as a row of columns (p55), properties of matrix operations, transpose of a matrix, symmetric matrix, upper (or lower) triangular matrix, derivative matrix, rotation matrix, identity matrix, zero matrix, Euclidean length/vector norm, linear combination, linearly dependent or independent, unit vector, nonsingular or singular matrix, invertible matrix, inverse of a matrix, properties of transposes and inverses, determinant of a 2x2 matrix

      Sing to yourself "Row by Column". No, really. I mean it.
      Section 1.5: 4, 9, 10, 20, 23, 34, 35, 44, 48, 53cd, 57, 61a
      Section 1.6: 3, 6, 9, 13, 20, 26, 29, 36, 42a, 45, 47
      Extra Questions Week 3 (html) (pdf)
      P.S. I really mean it!

Remember to explain the steps you used to solve the problems. Give solutions, not answers.

      Section 1.3: 4, 7, 10, 13, 14, 21, 24
      Section 1.4: 2, 3, 6, 7
      Extra Questions Week 2 (html) (pdf)

      Practice Problems for the Quiz: (html) (pdf)

      About Quiz 1: The quiz will take the first 30 minutes at the beginning of class. I made the quiz to take 15-20 minutes, but am providing additional time so that there is little time pressure. The quiz will cover sections 1.1-1.4 in the textbook. There will be one question where you will solve for the general and a particular solution of a system of equations. There will be one question where you will be given either a traffic network or an electrical network and you will provide the system of equations that corresponds to the network.
      Lastly, there will be a quick answer section. These are questions of the type [True or False ...] or [Give an example of a matrix that...] or other questions that play on your knowledge of definitions of key words. The key words for Quiz 1 are the highlighted words in Sections 1.1-1.4, in particular mxn system of equations, augmented matrix, echelon form, reduced echelon form, elementary row operation, general solution, particular solution, consistent system, inconsistent system, homogeneous system, trivial solution, and non-trivial solution

      Read the class web page including syllabus and schedule. This should answer all the questions that you may have about the class.
      Go to the class Discussion Board. Reply to the "Homework #1" post by writing your name. (This is just to see if you can find it and use it.)
      Section 1.1: 2, 6, 11, 12, 20, 22, 26, 32
      Section 1.2: 8, 9, 14, 19, 23, 28, 30, 36, 50