Matthew Mentrup
AMTH 174
HW6
Due Time: 1:45 PM, April 12, 2016
1.
b) What is the third column of A?
1
4
3
c) What is the second row of A?
2
0 4 6
d) What is the element A in the (3, 2) th position?
4
e) What is At?
1
2 1
1
0 1
1
4 3
3
6 7
2.
(a)
0
3 9
1
4
Counting
Chapter 6
With Question/Answer
Animations
Chapter Summary
The Product Rule
Permutations and Combinations
The Basics of Counting
Section 6.1
Basic Counting Principles: The Product
Rule
The Product Rule: A procedure can be
broken down into a sequen
Sets and Set Operations
Chapter Summary
Sets
The Language of Sets
Set Operations
Set Identities
Sets
Section 2.1
Section Summary
Definition of sets
Describing Sets
Roster Method
Set-Builder Notation
Some Important Sets in Mathematics
Empty Set and Univers
Kevin Tam
AMATH 174
HW5
Due time: 1:45 PM, April 5, 2016
1.
Show that if a | b and b | a, where a and b are integers, then a = b or a = -b.
If a|b, b|a, then a = b or a = -b
a|b; there exists an integer s at b = s*a also a != 0
there exists an integer t s
The Pigeonhole Principle
Section 6.2
Section Summary
The Pigeonhole Principle
The Generalized Pigeonhole Principle
The Pigeonhole Principle
If a flock of 20 pigeons roosts in a set of 19 pigeonholes, one of
the pigeonholes must have more than 1 pigeon.
Pi
Propositional Logic Summary
The Language of Propositions
Connectives
Truth Values
Truth Tables
Logical Equivalences
Important Equivalences
Showing Equivalence
Propositional Logic
Section 1.1
Section Summary
Propositions
Connectives
Negation
Conjunction
Di
Kevin Tam
AMTH 174
HW6
Due Time: 1:45 PM, April 12, 2016
1.
b) What is the third column of A?
1
4
3
c) What is the second row of A?
2
0 4 6
d) What is the element A in the (3, 2) th position?
4
e) What is At?
1
2 1
1
0 1
1
4 3
3
6 7
2.
(a)
0
3 9
1
4 -1
2
Matthew Mentrup
AMATH 174
HW5
Due time: 1:45 PM, April 5, 2016
1.
Show that if a | b and b | a, where a and b are integers, then a = b or a = -b.
If a|b, b|a, then a = b or a = -b
a|b; there exists an integer s at b = s*a also a != 0
there exists an integ