Introduction to Linear Algebra -

Introduction to Linear Algebra - Math 313

Fall 2007

Homework

Class Date

Sections Covered

Homework Assigned

Homework
Due Date

M August 20

W August 22

1.1, 1.2

1.3,1.4

1.1: 3-5 Turn in 5b

1.2: 3-10, 12–14, 21, 32 Turn in 5cd, 6a, 7a, 8a, 10a,14b

1.3: 5,7,10,11,17 Turn in 7ab

1.4: 4-8, 11, 13, 16, 20 Turn in 4ab, 7a, 8, 11

M August 27

W August 29

1.5, 1.6,1.7

2.1

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

2.1 1-3, 5-10 Turn in 6,9

W Sept. 5

2.2, 2.3

2.2: 1 – 12 Turn in 3b,4,5

2.3 4,12 Turn in: 4b, 12a

M Sept. 10

W Sept. 12

Review,

Quiz – 1

M Sept. 17

W Sept. 19

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 Sept. 24

W Sept. 26

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 Oct. 1

W Oct. 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 Oct. 8

W Oct. 10

Exam 1 REVIEW

EXAM 1

M Oct. 15

W Oct. 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 Oct. 22

W Oct. 24

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 Oct. 29

M Oct 29

W Oct. 31

Quiz 2 REVIEW

Quiz -2

M Nov. 5

W Nov. 7

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 Nov. 12

W Nov. 14

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 Nov. 26

Nov19,21

M Nov. 26

W Nov. 28

8.5

9.1

Thanksgiving Holidays

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 Dec. 3

M Dec 3

W Dec 5

M Dec 10

Exam 2 REVIEW

EXAM 2-Final Exam