Introduction to Linear Algebra - Math 313

Spring 2010

Homework

 Class Date Sections Covered Homework Assigned Homework Due Date W  January 20 1.1, 1.2 1.1:  3-5 Turn in 5b 1.2:  3-10, 12-14, 21, 32 Turn in 5cd, 6a, 7a, 8a, 10a,14b January 25 M January 25 W January 27 1.3,1.4 1.5, 1.6,1.7 1.3: 5,7,10,11,17 Turn in 7ab 1.4:  4-8, 11, 13, 16, 20 Turn in 4ab, 7a, 8, 11 1.5: 5-7, 9, 10 Turn in 7c  1.6: 1-5 , 16-19 Turn in 5, 18 1.7:  1-5,  Turn in 3b,4c,5b M February 1 M February 1     W  February 3 2.1     2.2, 2.3 2.1 1-3, 5-10 Turn in 6,9     2.2: 1-12 Turn in 3b,4,5 2.3 4,12 Turn in: 4b, 12a M  February 8 M  February 8     W February 10 Review,     Quiz – 1 M February 15       W February 17 4.1,5.1    5.2 5.1 1-16 Turn in 5,6,7,9,11Change instructions to: For those examples which ARE vector spaces, verify axioms 1 and 6 5.2 1-4, 6-9, 11-16, 21,22 Turn in 1bc, 3ab, and give five examples of specific vectors in 3b; Turn in 4be, 6acf, 8ac, 13, 14, 22 M February 22 M February 22           W February 24 5.3, 5.4             5.4 5.3 1-6, 9-14, 19,20 Turn in: 2bd, 4cd, 21cd On 2bd, 4cd change instructions to: "Are these sets independent or dependent? If independent, prove it. If dependent, give an appropriate equation." 5.4: 1-4, 7-10, 11-20 Turn in: 3ac, 4bc, 9a, 10b, 12, 18ac, 19bc,20.  In 19bc, 20 give a basis for the given subspace. M March 1 M March 1   W March 3 5.5     5.6 5.5: 1-10 Turn in: 6ac, 8ac, 9ac, 10ac, 11   5.6:  2,4 Turn in: 2ac, 4abc In 4abc, compute only the dimension of the row space, the column space, and the null space M March. 8
 M March 8   W March 10 Exam 1 REVIEW   EXAM 1 M March 15     W March 17 6.1, 6.2     6.3 6.1: 4, 10a, 11a, 12, 14, 17, 27, 28a Turn in: 4, 12a, 14, 27, 28a (HINT: In 28a, use the product rule: 2Sin A.CosB = [Sin (A+B) + Sin(A-B)] 6.2: # 1,2,5,6,8,12, 34. Turn in: 1,2,5cf, 6a, 34 (In 34 change the instructions to : Show that f(x) = cos(x) and g(x) = cos(2x) are orthogonal with respect to this inner product . 6.3: # 1-5, 7, 9-12, 16, 17 Turn in: 9,10,11,12a, 16, 17a M March. 29 M March 29   W March 31 7.1   7.2 7.1:  # 1-6, 10 Turn in: 1bc, 2bc, 3bc, 4af, 6a 7.2: # 2-15, 18-20 Turn in: 5,9,10,13,18,20a M April 5 M April 5   W April 7 Quiz 2 REVIEW   Quiz -2 M April 12 W April 14 6.5   8.1 6.5: # 1-3, 6-9 Turn in: 1ab, 2a, 6,7 8.1 : # 1-3, 8,9,12,16,21,25,31 Turn in: 1, 9,12,25,31 M April. 19 M April 19 W April 21 8.2   8.4 8.2: #1-15, 25,26,27 Turn in: 7ac, 8ac, 9ac, 11,25 8.4:#1-9,11,14-16,18,19 Turn in: 1, 4, 6, 18ac,  19a M  April 26 M April 26   W April 28 8.59.1 8.5: #1-6, 11-13  Turn in: 1, 3, 5, 6, 11(modified) 12a(modified)(In # 11 and 12a, Find the eigen values of T and the matrix P that diagonalizes the matrix [T] with respect to the standard basis) M May. 3 M May   3     W  May 5   W Dec 12 (Note: Exam starts at 10:50 A.M.) Exam 2 REVIEW     Exam 2 REVIEW   EXAM 2-Final Exam