Math 018, Fall 2011
Quiz 3
Wednesday, October 5
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1. (7 points ) Farmer Phi
Math 018, Fall 2011
Quiz 4
Wednesday, October 5
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1.
(2 points ) Finish the
Math 018, Fall 2011
Quiz 5
Wednesday, October 19
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1.
(4 points ) For each
MATH 018: Elementary Linear Algebra
Homework 10
Due Wednesday, November 16, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (2 points). Plot each linear inequa
MATH 018: Elementary Linear Algebra
Homework 9
Due Monday, November 7, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (5 points). Consider an economy of medic
MATH 018: Elementary Linear Algebra
Homework 11
Due Monday, December 5, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (4 Points). You are throwing a party an
MATH 018: Elementary Linear Algebra
Homework 12 (Sections 1.1-2.1 Review)
Due Monday, December 19
Please write your name and section number on all pages of your solutions.
Each of the following proble
MATH 018: Elementary Linear Algebra
Homework 13 (Sections 2.2-2.6 Review)
Due Monday, December 12
Please write your name and section number on all pages of your solutions.
Each of the following proble
MATH 018: Elementary Linear Algebra
Homework 8
Due Friday, November 4, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (5 points). The students of Pi Mu Epsilo
MATH 018: Elementary Linear Algebra
Homework 7
Due Monday, October 24, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (3 points). Invert the matrices. If you
MATH 018: Elementary Linear Algebra
Homework 3
Due Monday, September 19, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (5 points). A high school band is prac
MATH 018: Elementary Linear Algebra
Homework 2
Due Friday, September 9, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (2 points). Solve the following:
(i) Le
MATH 018: Elementary Linear Algebra
Homework 4
Due Monday, October 3, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (4 points). Solve the system with the ech
MATH 018: Elementary Linear Algebra
Homework 5
Due Monday, October 10, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (5 points). Solve the system with the Ga
MATH 018: Elementary Linear Algebra
Homework 6
Due Monday, October 17, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (2 points). The following matrix M displ
MATH 018: Elementary Linear Algebra
Homework 1
Due Friday, September 2, 2011
Please write your name and section number on all pages of your solutions.
Problem 1 (4 points). Lines A, B , and C are give
Math 018, Fall 2011
Quiz 2
Monday, September 19
Name:
Section (circle):
001
002
Show all work clearly, and circle your nal answers. You have 15 minutes to complete this quiz.
1.
(3 points ) The supply
Math 018, Fall 2011
Quiz 1 - Solutions
Wednesday, September 7
1.
(3 points ) Find the equation of the line through the points (1, 5) and (2, 4) in slopeintercept form.
Solution. To nd the equation, we
1. Find the slope of the line through the 2 points pictured:
a) 2
b)
c)
3
2
2
3
d) 3
The 2 points above are (x1 , y1 ) = (2, 1) and (x2 , y2 ) = (1, 1). To nd the slope of the line passing through
the
Math 018
Exam II
1. The matrices below represent the augmented
matrix of a system of 3 linear equations with
3 variables x, y, z which has been row reduced.
As usual the rst column corresponds to x, t
Math 018
Exam II
1. Write the following system of equations as an
augmented matrix: (dont solve the system!)
7 + y = x 3 z
y + 2x + z + 1 = 0
x=z
2. Perform the row operation 2R1 3R2 R2 on
the followi
Math 018
Exam I
Sample C
1. Find an equation of the line through the points (1, 2) and (3, 4).
2. Sketch the graph of the line 2x y = 3.
3. Give an example (equation) of a line without a slope.
4. Det
Math 018
Exam I
Sample B
1. Find an equation for the line through the points (1, 3) and (5, 5).
2. Find an equation for the line through the points (3, 5) and (3, 10).
3. Determine the equation of the
Math 018
Exam I
1. Find the slope of each of the following straight
lines:
(a) The line which passes through the points
(1, 3) and (5, 2).
(b) The line with equation 4x + 2y = 9.
(c) Any line perpendi
MATH 018: Elementary Linear Algebra
Homework 1
Solutions
Problem 1 (4 points). Lines A, B , and C are given. Find the slope of each, and indicate which of the lines (if
any) are parallel or perpendicu
MATH 018: Elementary Linear Algebra
Homework 2
Solutions
Problem 1 (2 points). Solve the following:
(i) Let f be the function given by f (x) = 2 x 1. Evaluate f at 3, 1, and 6.
3
(ii) Let L be the lin
MATH 018: Elementary Linear Algebra
Homework 2
Solutions
Problem 1 (5 points). A high school band is practicing a song for their big concert. The instructor has a student
take down 2 types of data: th
MATH 018: Elementary Linear Algebra
Homework 4
Solutions
Problem 1 (4 points). Solve the system with the echelon method. If there exists no solution, say so. If there
are innitely many solutions, writ
MATH 018: Elementary Linear Algebra
Homework 5
Solutions
Problem 1 (5 points). Solve the system with the Gauss-Jordan method. If no solution exists, say so. If
innitely many solutions exist, nd the pa