Math 133     Study Guide and Problem Set for Hour Quiz #1       C.S.Davis

Study Guide #1

Problem Set #1

You are responsible for the subject matter in chapter 2.. The following topics are the most important. Typical exercises from Finite Mathematics and Its Applications, eighth edition, by Goldstein/Schneider/Seigel, are assigned at the end of each objective. Work additional exercises if you need more practice. The answers to the odd numbered problems are in the back of the text.  These exercises are for practice and are not graded.  

 The problem set, made up of the problems below, is graded in class.  See the Semester Plan for the current dates for the grading of the problem sets and taking of the hour quizzes.
2.1 & 2.2

1.  Solve systems of linear equations by the following methods:       P63#17,19,21,23;
                    P71#9-13,15
  Method 2E2U 3E3U 2E3U
a. graphing *
b. substitution *
c. Gaussian elimination * * *
P63#20    Do this problem by hand indicating and performing all of the row operations by hand.  Check your answers by hand by substituting your solution in each equation.
P63#36    Write a system of equations to solve this word problem.  Feel free to use the calculator to perform the row operations.  Check the final result using TI's rref command.
2. Solve word problems using Gaussian elimination.   P63# 31;   P71#26  P71#30,36,38,40 Use rref., 42 Use rref.
2.3
1. Perform matrix arithmetic:                                       P84# 7-23 odd,29
     a. addition (and subtraction)
     b. scalar multiplication
     c. matrix multiplication		 P84#10,28,32,36,52,54
2.

Solve word problems involving matrix multiplication.   P86#43-51 odd
3. Write a system of equations as a matrix equation and vice versa.   P85#31-41 odd
2.4
1. Find the inverse matrix for a 2-by-2 matrix by the short cut.    P97# 3,5,11,15  P97#12,18
2. Solve systems by matrix inverses.   P97# 1,11,13 
3. Solve word problems using inverse matrices.   P97# 15
2.5
1. Find the inverse matrix for 2-by-2 or 3-by-3 matrices using row operations.   P103# 1,2,11,12,13  P103#6,14
2.6
1. Set up and solve Leontief input/output model.   P110# 1,4,7,8 P110#16