MATH 2641
PROJECT # 1
NAME :_
CODES
Governments, national security agencies, companies are
often interested in the transmission of coded messages
that are hard to be decoded by others, if intercepted,
MATH 2641 TEST # 1 NAME :
All problems count 10 %. Do all problems. Show
all your work.
et T:R3—>R3
a) Is T 1-1 7 Brieﬂy explain.
b) Is T onto 7 Brieﬂy explain.
2. Find conditions on a and b such t
MATH 2641 TEST # 1 NAME :_Etm_1o_gﬁ_
All problems count 10 %. Do all problems. Show
all your work.
1. Let T : R“ a RIn be a linear transformation. Show
that T is 1~1 if and only if the only solution
MATH 2641 REVIEW # 1
1. How many solutions does the system
x— 2y+ z = 0
— x+3y+5z= 0
y+62=0
have?
2. Solve the system and ﬁnd the pivots When
2u—v = 0
—u+2v—w= 0
—v+2w-—z= 0
—w+2z = 5
3. How many solu
US History EOCT Review- Units 1-6
1. Compare the Spanish and French colonies in North America. Give one similarity (same) about their:
A. Government- Both were strictly controlled by the King, ruled b
General Derivative Rules
The Constant Multiple Rule
If c is a constant and f is a differentiable function, then
d
d
[cf ( x)] c
f ( x) .
dx
dx
The Sum Rule
If f and g are both differentiable, then
d
d
MATH 2215 PROJECT # 1
NAME :_
1. Show that :
a) A x ( B x C) + B x (C x A ) + C x (A x B) = 0
b) ( A x B )
2. A curve C has the parametrization
x = a sint cos , y = b sint sin , z = c cost ,
where a,
PROPERTIES OF DETERMINANTS
1. The determinant depends linearly on the first row :
aa
bb
c
d
ta
tb
c
d
t
a
b
c
d
a
b
c
d
a
c
b
d
2. The determinant changes sign when two rows are interchanged :
a
b
c
d
SYLLABUS MATH 2641-263
SPRING 2015
Georgia Perimeter College - Dunwoody
Class: Linear Algebra
MATH 2641-263 (CRN # 31856)
Prerequisite ( or corequisite): Math 2432
Place and Time: NE-1280 TR 7:30 pm 8