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1bSet6 - 2 Problem 6 on page 101 of the text 3 Problem 6 on...

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CALIFORNIA INSTITUTE OF TECHNOLOGY Department of Mathematics Math 1b, Analytical; Homework Set 6 Due: 10am, Monday, February 22, 2010 Read Chapter 4 in the text and read the notes on eigenvalues and eigenvectors on the course web page. You can collaborate on the problems as long as you write up all solutions in your own words and understand those solutions. Remember to justify all your answers. 1. Problem 14 on page 108 of the text.
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Unformatted text preview: 2. Problem 6 on page 101 of the text. 3. Problem 6 on page 107 of the text. The matrix A in the problem is to be viewed as the linear map T A : v 7→ Av on the space M 3 , 1 of column vectors. Also determine the eigenvalues and eigenspaces of T A . 4. Problem 4a on page 113. As in the third problem view the matrix A as the linear map T A when calculating eigenvectors. 1...
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