Homework
MA 2071�
D03
all assignments due
at the beginning of� the 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.
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day of assignment |
date |
topic |
section in book |
page |
problems |
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PART ONE matrices and
systems of equations |
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#1 |
Tuesday |
3/11 |
Solutions of Systems Gauss-Jordan Elimination |
1.5 1.1 |
62 8 |
18,19 3,5,7,9,14 |
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#2 |
Thursday |
3/13 |
"�������������������������������� " arbitrary variables |
1.1 1.5 |
8 62 |
15,16 20b,21a,21d,22a,22d,26 |
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#3 |
Friday` |
3/14 |
Solutions of Systems |
1.5 |
63 |
23-25,31,32 |
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#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 |
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Tuesday |
3/18 |
matrix arithmetic, vector form of solutions |
1.5 |
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go to Conference on Weds!!! |
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#5 |
Thurs |
3/20 |
matrix algebra |
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#6 |
Friday |
3/21 |
matrix algebra |
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follow this
link� Due TUES!! |
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#7 |
Tuesday |
3/25 |
more matrix algebra and matrix related work |
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#8 |
Thurs |
3/27 |
determinants and solutions to systems |
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follow this link Please also read notes on
determinants (intended to be shown in class) |
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#9 |
Friday |
3/28 |
solutions to homogeneous systems
Ax=0 |
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282 |
1A,2A,3,4,5,17,18 put solutions
into vector form ! |
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#10 |
Monday |
3/31 |
solution sets as vector spaces |
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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. |
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#11 |
Tuesday |
4/1 |
Vector Spaces |
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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 |
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#12 |
Thursday |
4/3 |
vector spaces |
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250 |
see notes at the bottom of the
page for assignment #11 |
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Friday |
4/4 |
no new assignment |
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Work on Projects!!! |
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#13 |
Monday |
4/7 |
see link -> |
6.7 |
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read notes
from class; assignment at bottom |
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#14 |
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4/8 |
Orthogonal Basis |
6.8 |
312 325 |
#1-4,20,21 #32 |
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#15 |
Friday |
4/11 |
Linear Transformations |
4.3 |
212 |
Read section 4.3 Problems 1-4,17,18,21 |
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#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 ) |
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#17 |
Thursday |
4/17 |
Rotation matrices |
4.3 |
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follow this link, see class notes from today |
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Friday |
4/18 |
no new homework |
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have a good weekend!!! |
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#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 |
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#19 |
Tuesday |
4/22 |
Diagonalization |
8.2 |
364 |
1-8,19-20,29-32 |
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#20 |
Thursday |
4/22 |
applications of diagonalization |
8.2 |
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Please read over notes from class demonstration |
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