Math 1090.04 Homework 06 Spring 2013

advertisement
Math 1090.04 Homework 06
Spring 2013
Name
Student ID Number:
Instructions:
Each student is expected to follow the Homework Guidelines
described on the course webpage
• Solve the Part A Problems on your own paper.
• Solve the Part B problems in this handout.
• Attach this handout to the front of your homework assignment
Reading Assignment:
• Chapter 2.4 - Text pages 119 - 125
Part A:
• Chapter 2.3 - Text pages: 116-118
Problems: 6, 8, 10, 39-47
Special Instructions for chapter 2.3:
– Write the system of equations in matrix form
– Write the augmented matrix for this system
– Find the solution using Gauss-Jordan Elimination - indicate each step using the
“R” notation
– Check you work using matrix multiplication
• Chapter 2.4 - Text pages: 126-127
Problems: 1-7, 16 - 20, 25-30
Special Instructions for problems 25-30 :
– Write the original system of equations in matrix form
– Part 1:Finding the Inverse
Math1090.004
Homework 06, Page 2 of 3
20 February 2013
∗ Write the augmented matrix for finding the inverse matrix
∗ Find the inverse using Gauss-Jordan Elimination - indicate each step using
the “R” notation
∗ Check you work using matrix multiplication
Hint : AA−1 = I
– Part 2: Solve the system of equations using the inverse
∗ Solve using matrix multiplication as demonstrated in class
∗ Check your work
DO NOT WRITE IN THIS TABLE!!!
(It is for grading purposes.)
Quantity of Completed Homework Problems:
Grade: Homework
Quiz
out of 30
Math1090.004
Homework 06, Page 3 of 3
20 February 2013
Chapter 2.4: Solving a System of Equations using the Inverse Method
1. Solve the following system using the inverse method


x + z = 1
x + y + 7z = 2

x + y + 8z = 3
(1)
(2)
(3)
Download