assignment4 - Problems: 1. Fraleigh &...

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University of Toronto at Scarborough Department of Computer and Mathematical Sciences Linear Algebra II MATB24 Fall 2010 Assignment # 4 You are expected to work on this assignment prior to your tutorial in the week of October 12th, 2010. You may ask questions about this assignment in that tutorial. In your tutorial in the week of October 19th you will be asked to write a quiz based on this assignment and/or related material from the lectures and tutorials in week 4 and textbook readings. Textbook: Linear Algebra by Fraleigh & Beauregard, 3rd edition. Read: Chapter 3 Section 3, 4 and week 4 Lecture Notes
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Unformatted text preview: Problems: 1. Fraleigh & Beauregard , Pages 211- 212 #5, 6, 7, 8, 9, 10, 11, 12, 13, 16, 19, 21, 22. 2. Fraleigh & Beauregard , Pages 227 #1, 2, 3, 4, 5, 6, 7, 8 3. Addition: Determine whether each of the following mappings is a linear transformation. If yes, prove it. If no, give your reason. 1) T: P n R; T[p(x)] = p(0); 2) T: M nn R; T(A) = det(A); 3) T: V V; T( v ) = v + u where u is a fixed vector in V; 4) T: P n P n ; T[p(x)] = p(x + 1); Note: There are answers at the back of the textbook for the odd number questions....
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