Homework 1,2,3, and 4 with extra Problems
Dominique Dec
August 25, 2014
Homework #1 Show that (1, 1, 2) is a solution for the system of linear equations:
x1 2x2 + 3x3 =9
x1 + 3x2 =4
f (x) =
2x1 5x2 + 5x3 =17
1. 1 2(1) + 3(2) = 9
1 + 2 + 6 = 9 T rue
2. (1
Homework Week 12 #45-48 and Book
Dominique Dec
November 16, 2014
3a c
b 3c
; a, b, c in R be a subspace of R4 . 1) Find a basis for the subspace,
HW #45 Let H =
7a + 6b + 5c
3a + c
2) State the dimension.
1
0
3
c
0b
3a
3
1
0
0a b 3c
7a
Homework 26-30 and pg 151 Problems
Dominique Dec
October 5, 2014
HW #26 b) Show that H =Spancfw_x1 , x2 mx3 is a subspace of R3
i) x1 = 0, x2 = 0, x3 = 0
H = cfw_0, 0, 0 (0, 0, 0) H.
ii) u : cfw_s1 v1 + s2 v2 + s3 v3 H
v : cfw_t1 v1 + t2 v2 + t3 v3
u +
Slide 1: Be Prepared
You need to be prepared before any job interview, especially a panel interview. A
panel interview isnt very common but it is traditionally used for higher up
positions.
One of the first questions you may ask is: How many people will b
Hi Eric,
Glad to see you are inspired! Before you start making actual investments you
should do some research. Here is a pretty extensive place to start:
Web sites for Investment Information
Standard & Poors personal finance site www.personalwealth.com
Fi
a. Pyramiding is a margin trading
technique where an investor uses
profits in their margin account to
acquire additional securities. In
this situation, you can find the
margin that Ravi has by taking
(75000-30000)/75000. This
equates to .6 or 60% margin.
Ingram 1
There are four marketing management philosophies. The first type is production-oriented.
This type of company believes that if they produce more products then that will produce more
sales. The second type is sales-oriented. A sales-oriented philo
Homework 9, 10, 11, 12, 13 and Book Problems
Dominique Dec
September 10, 2014
#12 pg 40 Write the augmented matrix for the linear system that corresponds to the matrix
equation Ax = b. Then solve the system and write the solution as a vector.
1 2 1 1
1
2
Homework 5, 6, 7, and 8 with extra Problems
Dominique Dec
September 3, 2014
#2 pg. 22 Determine which matrices are in reduced echelon form and which others are only in echelon
form.
a
b
c
d
reduced row echelon form
echelon form
reduced row echelon form
re
Homework #14-18, and book problems
Dominique Dec
September 20, 2014
#16 pg 60 Determine by inspection whether the vecors are linearly independent. Justify the answer.
2
3
2 , 6
8
12
No, vectors are linearly dependent because v2 is 3 v2 .
2
#18 pg 60 De
Homework for Week 7 with book work
Dominique Dec
October 11, 2014
4 0 0 0
7 1 0 0
#12 pg 168 Use codeterminants and cofactors to nd det
2 6 3 0
5 8 4 3
- 4(11+1 ) det [A1,1 ] = 4(1)(3)(3) = 36
6 3
2 4 0
9 0 4 1 0
#14 pg 168 Use codeterminants and cofacto
Homework Week 9 and Book Work
Dominique Dec
October 26, 2014
w1
v1
u1
w2
v2
u2
HW #35 Show that Rn is a vector space: u = . , v = . , w = .
.
.
.
.
.
.
u1 + v1
v1
u1
u2 v2 u2 + v2
V : . + . =
.
.
. .
.
.
.
wn
vn
un
1. u + v
Rn
Panel Interviews
Presented by Trio C
Preparation
How many people will be on the panel?
Who will be on the panel?
What department do they work in? What is
their role?
Work on your elevator pitch
Elevator Pitch
Keep it short and sweet
Represents your