## Homework

Homework is due at the beginning of class on Thursday, starting Feb 2.
 Due Feb 2 4.1 #1,5b,8,10,14,15,21 Due Feb 9 4.3 #1b,2,3. 4.4 #1,2. Show that if a set has a volume, then it has volume zero iff it has measure zero. Due Feb 16 4.5 #1,2,3,4,7,8. Admire #19 but don't solve it. Due Feb 23 4.8 #2,8,10,11,14,18 Due Mar 9 (stupid Leap Year error)8 4.9 #3,4. 4.10 #1,4,6,17. Let M be a matrix [A B] [C D] where A,D are square matrices, but B and D might be rectangles. If C = 0, show det M = det A * det D. If it helps to treat the case A invertible first, go for it, but prove the statement in general. Give an example where det M is not det A det D - det B det C. Due Mar 15 4.11 #1,8,9, 5.1 #1,2,5. Answers to 4.11.8a and b,c,d. Due Mar 29 5.2 #2, 5.3 #1,4 5.5 #2, 6.1 #1,3 Due Monday April 9 in 515 Malott, by 2 PM Turn in 6.1 #7a, 10, 12, 6.2 #1 Study also from (but don't turn in) 6.1 #7b, 11, 6.2 #3. Due Apr 19 but I'll take it until Monday noon in 515 6.3 #1, 2, 12, 6.4 #4, 6.5 #17. Due Apr 26 6.5 #20, 6.6 #5,6, 6.7 #1,6, 6.8 #1,3 Due May 3 6.6 #8, 6.7 #9, 6.9 #1,2,4, 6.10 #13