What is the difference between scalar multiplication and matrix
multiplication? Give examples of each operation.
In Scalar multiplication we have a single number which is to be multiplied by all
elements of the matrix. We write it as
if A is the matrix an

Unit 3
Unit
Chapter 4: Linear Programming: An Algebraic
Chapter
Approach
4.1 The Simplex Method:
4.1
Standard Maximization ProblemsStandard
Textbook Pg. 202
4.2 The Simplex Method:
4.2
Standard Minimization Problems-Pg.
226
226
4.3 The Simplex Method:
4

Homework Assignment: Interest
5.1ExercisePage2694,6and42
#4
The formula for future amount using simple interest is
A = P ( 1 + rt )
given
P = $1200, r = 0.07, t = 8 months =
8
2
years =
12
3
2
A = 1200 1 + 0.07
3
A = $1256
#6.
We have
A = P ( 1 + rt )
P=

In the simplex method, how is a pivot column selected? A pivot row?
A pivot element? Give examples of each.
A pivot column is selected using the following procedure
We look at all the numbers in the bottom row, except the last entry on the right (which is

1.
5 ( 3)
8
4
=
=
3 7
10
5
4
slope =
5
slope =
2.
slope =
23 7
30
= = 5
4 ( 2 )
6
equation of line
y 7 = 5 ( x ( 2 ) )
y 7 = 5 x 10
y = 5 x 3 is the required equation of line
3.
4x + y = -23
y = -4x 23
- Slope intercept form y = mx + b
slope = -4 and y i

MA 170 MIDTERM GARY MCCRACKEN G00025974
Legend
^ represents exponent
" to prevent auto formula
1. Find the slope of the line passing through the two points (7, -3) and (-3, 5)
Slope = 5 - (-3) / -3 - 7 = 8/-10 = -4/5
Slope = - 4/5
2. Find an equation of t

MA 170 ASSIGNMENT NUMBER 3 GARY MCCRACKEN G00025974
4.1 Exercise Page 217-2, 6 and 12
2)
Since the final row of the tableau consists of all positive elements so the tableau is in the final form
Solution
P = 30, y = 6, v = 2, x = 0 , u =0
6)
x
1/2
1/2
2
-1

Unit 2
Chapter 2 - Systems of Linear Equations and
Matrices
Sections
u 2.2 Systems of Linear Equations:
Unique Solutions Textbook Pg 75
u 2.4 Matrices Pg. 100
u 2.5 Multiplication of Matrices Pg 113
2.2
Systems of Linear Equations:
Unique Solutions
3x 2 y

Unit 1
Chapter 1 - Straight Lines and Linear Functions
Chapter 2-Systems of Linear Equations and Matrices
Sections
u 1.1 The Cartesian Coordinate System
u 1.2 Straight Lines
u 1.3 Linear Functions and
Mathematical Models
u 2.1 Systems of Linear Equations:

Points Awarded
103.64
Points Missed
Percentage
0.00
100%
1.
State whether the statements are true or false:
A) True
B) False
Points Earned: 3.3/3.3
2.
Fill in the missing value. Assume simple interest.
principal _
interest rate 3%
time 1 year
simple inter

1.
Find the probability. Write your answer as a percent rounded to the nearest whole
percent:
A number from 8 to 16 is drawn at random. P(12).
A) 11%
B) 13%
C) 15%
2.
Evaluate the expression: 9!
A) 362880
B) 362800
3.
Evaluate the expression:
A) 10,080
B)

Exercise-1.1, page 6
#4
Point D is located in quadrant II , the coordinates are x = -2 and y = 5, so we can write
the coordinates as (-2,5)
Exercise-1.2, page 18
#2
The slope is given by the formula m =
y2 y1
where (x1, y1) and (x2,y2) are points on the
x

6.1 Exercise Page 320-2, 10, 28 and 32
#2
cfw_x| x is a football team in NFL
#10 (a)False
(b) False
#28
(a)
U
Ac B c
A
B
28
(b)
U
(AUB)c
A
32 (a)
B
32 (b)
6.2 Exercise Page 327-18 and 22
18) n( A U B) = n( A) + n( B ) n( A I B )
n( A U B ) = 100, n( A) =

What is the difference between the accumulated amount (future
value) and the present value of an investment? Give examples of
each.
Future Value is the amount of money made after a certain time when we invest
something today. Since money grows with time b

What is the difference between the accumulated amount (future
value) and the present value of an investment? Give examples of
each.
Future Value is the amount of money that an investment made today (the present value)
will grow to by some future date. Sin

Probability
7.1ExercisePage3592,8and22
#2
F = cfw_ a, d , f , G = cfw_ b, c, e
F G = cfw_ a, b, c, d , e, f
F G =cfw_
#8
E = cfw_ 2, 4, 6 , F = cfw_ 1,3,5 , G = cfw_ 5, 6
E F G = ( E F ) G
Now
EF =cfw_
( E F) G =cfw_
#22
A The events that the sum of