Assignment #5

Assignment #5 - Stephanie Campbell Assignment 5 MATH133,...

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Unformatted text preview: Stephanie Campbell Assignment 5 MATH133, Fall 2009 due 10/13/2010 at 11:59pm EDT. You may attempt any problem an unlimited number of times. 1. (1 pt) Find the characteristic polynomial of the matrix A = 1-3 2 3-4 2 . p ( x ) = . 2. (1 pt) Find the eigenvalues of the matrix A =-27-36 18 24 . The smaller eigenvalue is 1 = . The bigger eigenvalue is 2 = . 3. (1 pt) The matrix B = 6 6 5 5 6-2 has threee distinct eigenvalues, 1 < 2 < 3 , where 1 = , 2 = , and 3 = . 4. (1 pt) The matrix C = 3 30 3 10-13-2-6 has three distinct eigenvalues, 1 < 2 < 3 , where 1 = , 2 = , and 3 = . 5. (1 pt) The matrix C = 4 7-7-3-7-3 has two distinct eigenvalues, 1 < 2 : 1 = has multiplicity , and 2 = has multiplicity . 6. (2 pts) Let A =- 1- 2 1- 4 Compute the eigenvalues and eigenspaces of A : One eigenvalue of A is and the corresponding eigenspace is span { } The other eigenvalue of A is and its corresponding...
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This note was uploaded on 12/01/2010 for the course MATH 133 taught by Professor Klemes during the Fall '08 term at McGill.

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Assignment #5 - Stephanie Campbell Assignment 5 MATH133,...

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