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a2 - University of Toronto at Scarborough Department of...

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University of Toronto at Scarborough Department of Computer & Mathematical Sciences MATA33 Assignment 2 Winter 2008 Work on the course material and problems below. You should be prepared to ask questions about this assignment in the 2nd tutorial, which takes place during the week of January 21-25. Remember: there is a quiz on assignment 1 in the 2nd tutorial. Quiz 2 is based on this assignment 2 and the relevant text readings and lecture notes. Quiz 2 will be written in the 3rd tutorial, which takes place during the week of January 28-February 1. Study: Review sections 7.1-7.3 as necessary. For the current lectures, study sections 6.1-6.3. Read ahead in sections 6.4 and 6.5 for upcoming lectures and the next assignment. Problems: 1. Section 6.1 Pages 231-232 # 1 - 12, 14, 17 - 28, 31. 2. Section 6.2, Pages 237 - 238 # 1 - 10 (be careful if the indicated operation in a question is undefined), 14 - 20, 29 - 33, 35 - 39, 41, 42. 3. Section 6.3, Pages 248 - 249 # 1 - 10, 19 - 23, 26, 33, 34, 37, 38, 45, 46, 48, 57 - 61, 64, 68. 4. Give an example of 2 × 2 matrices A and B such that A 2 - B 2 6 = ( A - B )( A + B ). 5. Give an example of non-zero 2 × 2 matrices A, B and C such that:
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