4.3 - 22
a)
b)
c)
d)
e)
False true if the set is a spanning set of H
True Spanning Set theorem
True Basis must span the spaces and be linearly independent.
False Doesnt fail to produce a basis for Nul A
False - Must look at corresponding columns in A
4.4
Russel's Paradox and Fibonacci Numbers
Some fun applications that we discuss this week include Russells paradox and the Fibonacci
Numbers. While the first is another Set Theory paradox, and the second is a natural application
of a recurrence relation, the
1. Provide a comprehensive example of one of the two rules with real-world statements, and
translate them in logical statements
a. Modus Tollens: When p and q are propositions, if p implies q and q is false, p is
also false.
b. Example: If its raining, th
2.1 15
a) False: Matrix multiplication is row x column
b) False: Would be true if you swap A and B
c) True: Theorem 2 left distributive law (Matrix multiplication distributes over addition.)
pg. 99
d) True: Theorem 3 Properties of transposition. Pg. 101
e
1.7 22
a. True: Theorem 7: An indexed set S = cfw_v1,.,Vpof two or more vectors is linearly
dependent if and only if at least one of the vectors in S is a linear combination of the
others
b. True: The third vector must be a multiple of the first or second
5.1 21
a) False: Is true if vector is not a zero vector
b) True: Ax = 0x has non trivial solution if A is not invertible. A has Eigen value 0 if Ax =
0x has non trivial solution
c) True: Rearrangement of Ax= x.
d) True: Check if Ax is a scalar multiple of
6.1 - 19
a.
b.
c.
d.
True: By definition of the length of a vector, |v| is sqrt(v*v)
True: (cu)*v = c(u*v) = u*(cv)
Ture: For u and v in Rn, the distance between u and v, written as dist.u; v/, is the
length of the vector u - v. False: [11
00]
e. True: Th
1.1 - 24.
a) False Two matrices are row equivalent if one row can be changed to the other through a
sequence of row operations. Both must have same number rows, but this doesnt
guarantee row equivalence. A counter example would be having two matrices with
23.
a)
b)
c)
d)
e)
False: Need f(t) = 0 for all t
False: This is not the only form a vector
False: The set needs to be closed under addition and scalar multiplication
True: By the definition of subspace
False: Digital; signals used
24
a)
b)
c)
d)
True: De
Silman, who teaches at Wake Forest University, calls himself a forest
ecologist, though he also answers to the title tropical ecologist, community
ecologist, or conservation biologist. He began his career thinking about how
forest communities are put toge
Date: 4/17/17
Synthesis of Triphenylmethanol
Introduction:
The use of Grignard reagents to produce compounds such as triphenylmethanol has been
found to be not only a useful method of synthesizing an extended variety of functional
groups but also to be a
Ice Cream Lab
Xeng Vang
Abstract
In this experiment, we performed threes trials of ice cream making. We changed
the salt variable in each of the experiments while keeping all other materials the same.
We used the traditional ice cream in a bag method to m
Writing a Formal Science Paper Part IV: The Conclusion
The conclusion of the paper provides the reader with a clean summary of what the results are,
what they mean, and reminds the reader about the overall relevance of the data. By reminding
the reader wh
Chem 100
-Matter: anything that takes up space and has mass
-Mass: a measure of the quantity of matter
Compositions of matter:
-Pure substance: same composition irrespective of the selected sample, cannot be separated by
physical means
-Elements (bulk): s
Department of Biological Sciences
Histology Take Home Assignment
Dr. AJ Petto
This assignment requires that you access a set of images on the D2L website. These are located on the
content page in the IMAGES FOR TAKE-HOME folder. Look for the subfolder: Im
BIO SCI 203 LAB
Hematology
-the study of blood and its constituents
-for comparison, amount of blood in males is approx. 5.6 liters, females 4.4
-3 main properties of blood are transport, protection, and regulation
Components of blood
-blood is a liquid c
NURS 101
February 9, 2017
Asian cultures and health
-most of the world is Asian (61%)
-13% African
-12% European
-9% Latin American
-5% North American
U.S Census
-Asian = 26% of U.S foreign born
Chinese 2.7 million
Filipinos 2.4 million
Asian Indians 1.9
PSYCH 101
CHAPTER 1 part 2.
The development of Clinical Psychology:
Jean-Martin Charcot (1825-1893), Pierre Janet (1859-1947)
-Hysteria: Temporary loss of cognitive or motor functions, usually as a result of emotionally
upsetting experiences
Sigmund Freud
September 13, 2016/ September 15, 2016
Chapter 2
Psychological Research
-Understanding how psychologists create and test psychological theories
-The Bystander effect: is an empirically-tested and objectively-measured phenomenon
-Empiricism: the reliance o
Molly Schultz
Musculoskeletal take home assignment
Question 1:
Begin by making a list of the muscles from the Top 20 that are used in this yoga pose. Remember
that some of the Top 20 muscles may not be illustrated, but can still be used in these poses; yo
Name: Alex Kerpan (please print)
KIN 351: Sociological Aspects of Health and Human Movement
Environmental Scan
The purpose of this task is for you to reflect upon the personal, social, and environmental factors that
shaped your health and health behaviors
Acid-Base Titrimetry: Determination of Acetic Acid in Commercial Vinegar
Oseas Medina
Objective:
To quantitatively determine the amount of CH3COOH in a sample of vinegar via acid base titration.
Safety and Physical Properties:
Molecular Weight
(g/mol)
Mel
Combinations of Resistors
Oseas Medina
10/11/2016
Physics 123
Objective
The objective of this experiment was to determine the voltage, resistance and current of 3
different types of combinations of resistors and how they vary. We will be building a circui
Acid-Base Titrimetry: Determination of Carbonate in Soda Ash
Objective:
To determine the amount of soda ash in an unknown sample via acidbase titrimetry.
Safety and Physical Properties:
Molecular
Weight (g/mol)
Melting Point
(degrees
Celsius)
Boiling Poin
Converging Lenses and The Eye as an optical instrument
Oseas Medina
Christopher Kendl
12/06/2016
Physics 123
(Part a)
Objective
The purpose of this lab is to observe the location and size of the image produced by a converging lens.
We will be applying the
Oseas Medina
02/24/2017
Chemistry 221
Precipitation Gravimetry: Determination of Chloride in Lake Water by Fajans' Method
Objective:
To determine the concentration of chloride ions in an unknown solution using Fajan's method, a
form of precipitation titri
Matter and its properties-definitions
Definition
Particle Level
Representation
Examples
Element
Atom
Compound
Homogeneous
mixture
Heterogeneous
mixture
Intensive
physical
property
Extensive
physical
property
Chemical
property
Physical
change
Chemical
chan
MT 360B, Calculus II Week 4 Midterm Review
There are 20 questions on the midterm. Each question is listed below, along with its
associated section, and a description. The graph on the left side of each question indicates the
difficulty level moderate (14