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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