linear alg extra credit

linear alg extra credit - R 4 , and give an example of four...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Name Mathematics 364 Extra Credit 1 (Due Monday 3/10/08) Directions: To get the full 5 points, the problems must be all correct or nearly so. Most are short and easy to do. Feel free to ask questions on any of the problems. 1. (a) Find the LU factorization of A = 1 3 4 0 3 5 - 5 - 12 0 . (b) Multiply L by U . If your result doesn’t equal A , you either multiplied wrong or messed up the previous problem. Go back and fix your mistakes. 2. Show that if AB - 1 C = XY Z , then B = CZ - 1 Y - 1 X - 1 A . Then show that B = C ( XY Z ) - 1 A . Assume each matrix is invertible. (Turn over)
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
3. Consider the system of equations x + 2 y = 8 and 2 x - 9 y = 16. Without actually solving the equations, determine if x = 2, y = 3 is a solution. 4. Give an example of four vectors that span
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: R 4 , and give an example of four vectors that dont span R 4 . Please explain why your examples work. 5. At the pet store, mice cost 25 cents apiece, hamsters cost a dollar apiece, and guinea pigs cost $15 apiece. A hungry cat goes into the the store and buys some of each. The cat buys at least one of each, and buys nothing else, spending a total of $100 on exactly 100 animals. How many of each did the cat buy? [You can do this by setting up two equations and row reducing. There will be a free variable in the solution. You will need to choose the value of the free variable so that solutions are whole numbers.]...
View Full Document

This note was uploaded on 04/08/2008 for the course MATH 348 taught by Professor Weiss during the Spring '08 term at MS Mary.

Page1 / 2

linear alg extra credit - R 4 , and give an example of four...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online