Homework

MA 2071D03

 

all assignments due at the beginning ofthe next class after they are assigned

all are in reference to Kolman, Linear Algebra w/ Applications, 7th ed

Please print your name, the assignment and your section on the paper. Please use

8 1/2 x 11 paper only, no paper torn out of spiral binders.Work leading to your answers must be shown; correct answers alone are of no interest.

 

 

day of

assignment

date

topic

section

in book

page

problems

 

PART ONE

matrices and systems

of equations

 

 

 

 

 

#1

Tuesday

3/11

Solutions of

Systems

Gauss-Jordan Elimination

1.5

 

1.1

62

 

8

18,19

 

3,5,7,9,14

#2

Thursday

3/13

"�������������������������������� "

arbitrary variables

1.1

1.5

8

62

15,16

20b,21a,21d,22a,22d,26

#3

Friday`

3/14

Solutions of Systems

1.5

63

23-25,31,32

#4

Monday

3/17

homog, partic solutions

1.5

64

33, 38-40

in 39&40 verify that what

you have for xh and xp

really satisfy the definition

 

Tuesday

3/18

matrix arithmetic,

vector form of solutions

1.5

 

go to Conference on Weds!!!

#5

Thurs

3/20

matrix algebra

 

 

follow this link

#6

Friday

3/21

matrix algebra

 

 

follow this linkDue TUES!!

#7

Tuesday

3/25

more matrix algebra and

matrix related work

 

 

follow this link

#8

Thurs

3/27

determinants and solutions

to systems

 

 

follow this link

Please also read notes on determinants

(intended to be shown in class)

#9

Friday

3/28

solutions to homogeneous systems Ax=0

 

282

1A,2A,3,4,5,17,18 put solutions into vector form !

#10

Monday

3/31

solution sets as vector

spaces

 

282

in each problem in assignment #9 (1a,2a,3-5)

identify the vectors forming the basis as well as what the dimension is.

In problems 17 and 18 actually find a nontrivial solution for each value of the parameter you computed.

#11

Tuesday

4/1

Vector Spaces

 

250

1.                  Use the definition of vector space from class: closed under addition and scalar multiplication. This is also covered in conference on Weds

Follow this link for notes and solutions from Thursday�s class

#12

Thursday

4/3

vector spaces

 

250

see notes at the bottom of the page for assignment #11

 

Friday

4/4

no new assignment

 

 

Work on Projects!!!

#13

Monday

4/7

see link ->

6.7

 

read notes from class; assignment at

bottom

#14

 

4/8

Orthogonal Basis

6.8

312

325

#1-4,20,21

#32

#15

Friday

4/11

Linear Transformations

4.3

212

Read section 4.3

Problems 1-4,17,18,21

#16

Monday

4/14

Linear Trans

4.3

212-213

13,14,15,22,25-30(read text on how to set up the matrix )

#17

Thursday

4/17

Rotation matrices

4.3

 

follow this link, see class notes from today

 

Friday

4/18

no new homework

 

 

have a good weekend!!!

#18

Monday

4/21

Eigenvalues/vectors

8.1

354

2,

6-12 � use Maple or Matlab (see syll for������ instructions on how to use )

16-18 by hand

#19

Tuesday

4/22

Diagonalization

8.2

364

1-8,19-20,29-32

#20

Thursday

4/22

applications of diagonalization

8.2

 

Please read over notes from class demonstration