MATH 311 Honors: Homework Assignments

Text: Linearity - Fulling

Homework 1

Section 1.1 # 8, 9, 10, 12b

Section 1.2 # 1d, 4, 8, 15

Section 1.3 # 3

Section 1.4 # 3, 4, 6

Homework 2

Section 2.1 # 4ac, 5ad, 6, 7, 10, 12, 13e

Section 2.2 # 4c, 5a, 9, 11a, 14, 16, 17, 26

Homework 3

Section 2.3 # 2, 3b, 4, 6, 10, 11, 13, 14ab, 15ab, 17

Section 2.4 # 5, 6, 11, 15

Section 2.5 # 1D, 2A, 3D, 4B, 7, 8, 10

Homework 4

Section 3.1 # 2, HANDOUT # 12

Section 3.2 # 1, 2ab, 3cd, 5, 6, 9, 11, 15, 21

Section 3.3 # 1, 5, 7, 10

Section 3.4 # 1, 3, 4, 8, 9

Section 3.5 # 1, 3, 6, 7, 10

Homework 5

Section 4.1 # 3, 4, 5, 6, 8, 9, 10, 13, 14, 16

Section 4.2 # 2, 3

Section 4.3 # 3acd, 4ac, 12, 13

Homework 6

Section 4.4 # 2, 5, 7, 9, 10b, 13, 15

Section 4.5 # 1, 2, 4, 5, 6, HANDOUT # 1, 2

Homework 7

Section 5.1 # 4, 5, 13, 14

Section 5.2 # 3, 4, 7, 9, 11, 14, 18
For each linear function, describe the domain, codomain, kernel and range, give a basis and the dimension of each space and say why the map is one-to-one and/or onto.

Section 5.4 # 2, 6

Homework 84

Section 6.1 # 1, 5, 6

Section 6.2 # 1, 4, 10

Section 6.3 # 6, 10, 11, 12

Section 6.4 # 1, 4, 7

Homework 9

Section 7.1 # 4, 7, 9, 18

Section 7.2 # 3a, 4

Section 7.3 # 2, 4, 5(and find the center of mass)

Section 7.4 # 3, 4, 6

Homework 10

Section 7.5 # 3, 4, 5, 12

Section 7.6 # 1, 2, 3(two ways), 7, 8, 9, 19, 20(two ways)

Last modified by pby on Fri Sept 7, 2001.