Info on the Quizzes is posted here. There will be three quizzes. Each quiz is worth 25 points. You will be given 25 minutes of class time to complete each quiz. The three quizzes together count for one quarter of your final grade. Also note that calculators will not be allowed on any of the quizzes or tests in this course.

• Date: April 4th
• Material covered
  • Reduced Row echelon Form: know how to solve a system of equations by performing row operations on the associated matrix to produce the reduced row echelon form.
  • Matrix multiplication: know the basic properties of matrix multiplication.
• Stats: Average Score: 16.6 ; Median Score: 17
• Comments:
  • Problem 1: Outside of computation mistakes, most points where lost on the vector form of the equation. Also, remember to always work with whole numbers when possible.
  • Problem 2: This is the definition I gave you of matrix multiplication.
  • Problem 3: Lots of points lost for confusing 3 by 2 matricies with 2 by 3 matricies. Remember: 3 by 2 means 3 rows and 2 columns. By nonzero I meant matricies whose entries are not all zero, I didn't take off points for listing the 3 by 2 zero matrix.

• Date: May 2nd
• Material covered: Sections 3.1 to 3.5 in the book
  • Know how to show that a subset is a subspace
  • Know how to compute the null-space and the range of a matrix
  • Know how to find a basis for a subspace
  • Know how to find the dimension of a subspace
  • Know the definition of the rank and nullity of a matrix and know the formula that relates them
• Practice Quiz with solutions (I forgot to list one possiblity in the solution to Pbl#2).
• I will have extended office hours on Wednesday before the quiz: 11:00-1:00, please come by if you have questions.
• Stats: Average: 20 ; Median: 21

• Date: May 23nd
• Material covered: Sections 4.1 to 4.4 in the book
  • Know how to use row operations to simplify the computation of determinants
  • Know how to solve the eigenvalue problem
• I will have extended office hours on Wednesday before the quiz: 11:00-1:00.
• Stats: Average: 20; Median: 20
• Comments:
  • Problem 1: Most people got this one, those who didn't made computational errors
  • Problem 2: For part (a) remember that if the matrix is upper triangular then the eigenvalues are the diagonal entries; this will speed up your calculations. For part (b): row equivalent matrices do not have the same eigenvalues, so you cannot reduce first then look at A minus lambda I. Also I was a stickler about the zero vector not being an eigenvector.