Math 54 - Section 5 - Summer 2011
Welcome to Math 54! This is your instructor, Alex Kruckman. There's lots of info about the course in the
Homework:
Homework Statistics
Look here for homework assignments.
HW 1 (due Fri. 6/24): 1.1 #4, 22, 26; 1.2 #4, 12, 20; 1.3 #10, 12, 16; 1.4 #2, 4, 16, 22; 1.5 #10, 14, 20, 40; 1.7 #2, 10, 32, 34, 36; 1.8 #2, 10, 12; 1.9 #2, 10, 18.
Challenging Problems (optional): 1.1 #33, 34; 1.2 #29, 30, 31; 1.4 #32, 34; 1.8 #24, 31.
Problems scanned from textbook
Solutions
HW 2 (due Tues. 6/28): 2.1 #2, 4, 7, 8, 11, 22, 27, 28, 33 (Hint: What is the entry in the ith row and jth column of (AB)^T? What about in (B^T)(A^T)?); 2.2 #3, 6, 14, 21, 22, 23, 24, 30, 32.
Optional Problems: 2.1 #23, 24, 25, 26; 2.2 #25, 26.
Problems scanned from textbook
Solutions
HW 3 (due Fri. 7/1): 2.3 #2, 4, 6, 8; 3.1 #10, 12, 14, 37, 38; 3.2 #8, 22, 24, 31, 32, 34
Solutions
HW 4 (due Tues. 7/5): 4.1 #2, 8, 10, 28, 30; 4.2 #2, 6, 20, 22, 24, 27
Optional Problems: 4.1 #31, 32, 33, 34; 4.2 #31, 32, 34
Solutions
HW 5 (due Tues. 7/12): 4.3 #2, 4, 6, 8, 14, 20, 24, 34; 4.4 #2, 4, 6, 8, 14, 18, 30, 32 (for #30 and 32, see Examples 5, 6, 7 in the section)
Optional Problems: 4.3 #31, 32; 4.4 #19, 20, 25, 26
Solutions
HW 6 (due Fri. 7/15): 4.5 #2, 6, 8 (note: this is intended to be a subspace of R^4), 12, 22, 24; 4.6 #2, 4, 6, 8, 10, 12, 20; 5.1 #2, 4, 6, 8, 10, 16, 18, 31, 32; 5.2 #2, 6, 10, 14, 16, 18
Optional Problems: 4.5 #26, 28; 4.6 #27, 28, 29, 30; 5.1 #25, 26, 27
Solutions
HW 7 (due Tues. 7/19): 5.3 #6, 8, 10 , 12, 18, 20, 23, 24, 25, 26; 5.4 #2, 4, 6, 8, 10, 12, 16
Optional Problems: 5.3 #31, 32; 5.4 #20, 27, 29
Notes: 5.3 #12, 18: There is a hint on page 293 (just before the problems). 5.3 #23-26: You will be able to do these after Monday's lecture or after reading pages 291 and 292 in the book (the very end of section 5.3). 5.3 #31-32: "Construct" just means "write down".
Solutions
HW 8 (due Tues. 7/26): 5.5 #2, 4, 6; Ch. 5 Supplementary Exercises (p. 310) #10, 18; 6.1 #2, 4, 6, 8, 10, 14, 16, 18, 24; 6.2 #2, 4, 6, 8, 10, 14, 20, 32, 33.
Solutions
HW 9 (due Fri. 7/29): 6.3 #2, 4, 8, 10, 12, 16; 6.4 #4, 8, 10, 12; 6.5 #2, 4, 6, 8, 10, 12 (in 10 and 12, note that the columns of A are orthogonal), 14, 25.
Optional Problems: 6.3 #23, 24; 6.5 #19, 20, 21, 22.
Solutions
HW 10 (due Tues. 8/2): 4.2 #2, 4, 6, 14, 16, 18, 21, 22, 24, 26; 4.3 #6, 8, 22, 24, 28 (you should use a graphing calculator to obtain the sketches); 6.1 #2, 4, 6, 16, 18 (a fundamental solution set is a basis for the solution space S), 24.
Optional Problems: 4.2 #36, 37; 4.3 #38, 40; 6.1 #26.
Solutions
HW 11 (due Fri. 8/5): 4.4 #10, 18, 34; 4.5 #2, 4, 6, 28; 4.6 #2, 6, 10; 6.2 #2, 6, 14.
Optional Problems: 4.6 #20, 6.2 #25.
Solutions
HW 12 (due Tues. 8/9): 9.1 #4, 8, 12; 9.4 #2, 6, 24; 9.5 #12, 26, 34; 9.6 #2, 14; 9.8 #18, 20
Notes: 9.4 #24: This is easy. Don't overthink it. col(x,y,z) just means the column vector with entries x, y, and z. 9.8 #18, 20: You'll be able to do these after Monday's lecture or after reading the section carefully.
Solutions
Materials:
Look here for worksheets, handouts, and solutions to practice problems.