May2005solutions

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Unformatted text preview: MAT223 Final April-May 2005 Note: I’ll write column vectors horizontally and with commas sometimes, to save space. Part I 1. (2). If k = 2 the last equation disappears and the system has infinitely many solutions. For any other values of k , the last equation simplifies to (k + 2)x3 = 1. This is inconsist 1 with the second equation unless k + 2 = 2 , in which case again the system has infinitely many solutions. 2. (4). B is true because det A2 = (det A)2. D is equivalent to dim(row A) = 0,...
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This note was uploaded on 01/19/2010 for the course MAT MAT223 taught by Professor Uppal during the Spring '09 term at University of Toronto- Toronto.

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