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Unformatted text preview: Homework #8 Due Friday 03/14 or Monday, 03/17 Define the n × n matrix A n and the n × 1 vector b n A n =  2 1 . . . 1 2 1 . . . 1 2 1 . . . 1 2 1 . . . . . . . . . . . . . . . . . . . . . . . . 1 2 1 . . . 1 2 b n = 3 3 3 3 . . . . . . . . . 3 3 For example, A 6 =  2 1 1 2 1 1 2 1 1 2 1 1 2 1 1 2 A 6 = 3 3 3 3 3 3 The goal of this homework will be to solve A n x = b n for large n and study how long it takes for the computer to do so. Remark : The matrix A n occurs, for example, when one want to solve the heat equation on a rode. The solution of Ax = b will be the heat distribution on the rode: x ( i ) will be the temperature at the node...
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This note was uploaded on 10/28/2010 for the course MATH 135A taught by Professor Thomas during the Spring '10 term at UC Riverside.
 Spring '10
 THOMAS

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