Linear Algebra Unit 4 Problems

Acknowledge your sources (people and texts).
In nontrivial problems, show how you get your answers.
Turn in neat, well-written solutions, not messy first drafts. Trim "fringes." Staple.
Do not copy collaborative solutions; write up solutions in your own words.
Turn in homework on time. Each class day late reduces the possible points by 25%.
Use graph paper or quadrille (crosshatch) paper when you are asked to plot vectors, lines, etc.
Do extra credit problems entirely on your own.

Date assigned	Problems for practice	Problems to turn in	Due
11/17		S&B 4.1 #3,4,5	F 11/21
11/18		Determinant problems	F 11/21
11/20	Practice problems	(1) Make a table showing the number of inversions in all 4! permutations of (1,2,3,4). (2) Give an explicit formula for det A if A = [a_ij] is a 4 x 4 matrix.	T 11/25
11/21	n=3 cases	(3) Prove that A adj A = (det A) I if n = 3. (4) S&B problem 4.5.7 (Cramer's rule) Extra credit: S&B problem 4.5.9ab	T 11/25
11/24	S&B 6.1: #1, 2	R.C. Penney problems: handout Assume Fig. 4 shows the unit square.	T 12/2
11/25	In-class examples	EigenProblems 1, 2ab	T 12/2
12/1		S&B 6.2: #1 (You do not have to include the conjecture.) S&B 6.3: #1,2,3	F 12/5
12/2	Powers of matrices	Proof portfolio: Prove that similarity is an equivalence relation on F_n,n.	F 12/5