Properties of Determinants
The properties below are illustrated with 3
of any size.
1. Transpose property:
a b c
d e f
g h i
=
3 deteminants but they are true for determinants
det A = det AT
a d g
b e h
c f i
2. Scaling property:
a b c
e.g.:k d e f
g h i

DS-303
Practice exam 2
Fall 2009
Name_
1. Florida reappraises real Estate every year, and the county appraisers Web site lists the
current fair market value of each piece of property. Property usually sells for somewhat
more than the appraised market valu

Critique(Liangsquestions)
To what social, cultural, economic,
political, or educational problem is the
curriculum attempting to respond?
In the curriculum, what kinds of content
are most important, and how should the
content be organized for instruction

School Strategic Plan for
The University High School
School Number 8405
2014 -2017
Purpose
A quality strategic plan that engages the whole school community in its development ensures that the school is
united by a common purpose. The plan helps to establi

EDF1303 TUTORIAL WEEK 6
Activity 1:
For three minutes, sit silently on your own, reflecting if you are a reflective learner?
What are reflection strategies you often use to reflect your learning experiences?
(if any mentioned in the lecture?)
What did you

FORMULA SHEET
1
( xi x ) 2
n 1
Standard Deviation of a data set: s
SD( x )
Standard deviation of a sampling distribution of sample means:
n
Standard deviation of a sampling distribution of sample proportions:
SD ( p )
Confidence interval structure:
Tes

Welcome to EDF 1304
Where you are NOT
another brick in the wall
teachers, learners and creators of new structures
referred to as curriculum for new generational learning and teaching.
You are engineers, participants,
As you enter this lecture theatre you

In the following theorem each of the capital letters A; B; C; D; U etc. denote n n matrices.
Lower case bold face characters b; x; y are vectors in Rn ; which as matrices, are represented by
n 1 column matrices. This means that yT ; for example, is an 1 n

EDF1303: Workshop
Learning environments / Week 11 /
2016S2
Originally prepared by Dr Marc Pruyn
Adapted and presented by your awesome
Workshop Facilitator!
Acknowledgement of
country
This weeks workshop
Acknowledgement of country
Workshop housekeeping
Ass

Properties of Determinants
The properties below are illustrated with 3
of any size.
1. Transpose property:
a b c
d e f
g h i
=
3 deteminants but they are true for determinants
det A = det AT
a d g
b e h
c f i
2. Scaling property:
a b c
e.g.:k d e f
g h i

SYSTEMS OF LINEAR EQUATIONS
Our object is to solve a system of equations like
2x + y + z + w = 4
4x + y + 3z + 2w = 7
2x + z
w = 9:
Such a system is called linear because each of the equations on the left hand side is a
linear function of the unknown vari

The following example completes our discussion on transformations. Rotations in R3 ; presented
here in raw form, are obviously more complicated than rotations in R2 :
The 3
3 Rotation Matrix
The problem is to nd the matrix of the linear transformation whi

The Cauchy-Schwarz inequality
We are about to to prove the Cauchy-Schwarz inequality which states that for all vectors u; v 2 Rn
e e
we have
u v
e e
Lets take a moment to consider what this means.
u v
e e
Let u = (u1 ; u2 ;
; un ) and v = (v1 ; v2 ;
; vn

Finding inverses
The rst method we will use for nding inverses is the row operations method.
We will see from an example how to implement the method and then we will examine the
theory behind it; that is why it works.
Given an n n matrix A (which may or m

A Proof of the Cauchy Schwarz inequality:
Let u and v be any two vectors in Rn and let x be a real variable.
Let u and v be any two vectors in Rn and let x be a real variable.
Consider the quadratic function q (x) = (u + xv) (u + xv) :
Let u and v be any

Assignment focus:
mechanics of referencing and using
resources as evidence
monash.ed
u
Today
Mechanics of referencing: in text and in the list
of references (in this ppt)
Referencing a chapter from the textbook
Referencing a secondary source from a cha

Summary Statistics
variance s2 =
i=n
X
i=1
(xi x
)2
n1
Standard Deviation s =
s2
For probabilities of events:
P (A B) = P (A) + P (B) P (A B)
Conditional probability
P (A|B) =
P (A B)
P (B)
P (A B) = P (A)P (B|A) = P (B)P (A|B)
Bayes theorem:
If A1 ,

Semester 2, 2016
STA1010 Statistical Methods for Science
ASSIGNMENT 1
th
DUE DATE: to be submitted by NOON MONDAY 5 September, 2016.
The completed assignment should be placed in your tutors submission box on the ground floor
Question 1 [10 Marks]
An artic

Pre-service teachers name:
Name of school:
DAY1 Date:
Standard
Consider the days activities and briefly describe what you did to engage the standards (nb there is no expectation that you
will engage with every standard every day).
1 Know the students and

EDF1303 TUTORIAL WEEK 10
Dr Thanh Pham
Assignment 1-Part 2
Feedback and Questions
Are you confident with all PURPLE boxes here now?
Little things matter
see the next slides to
check if you can
reference the
textbook correctly
Assignment Task 2:
Reflectiv