LinAlg Test 3 [Nov 06]

LinAlg Test 3 [Nov 06] - The University of Western Ontario...

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The University of Western Ontario Applied Mathematics 025 Sample Tutorial Test for week of 12 November 2006 Time: 60 minutes Use the scantron sheet to answer questions in part A. Use this examination book to answer questions in part B. Part A is worth 50% of the test marks; Part B is worth 50%. You are allowed to use calculators and your textbook during this test. Name: STUDENT NUMBER 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 1
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PART A: USE SCANTRON FOR SOLUTIONS 1. The matrix transformation ± y 1 y 2 = ± 1 0 0 - 1 ¶± x 1 x 2 transforms the square (1 , 1) x 1 x 2 into the following figure (a) (1 , 1) y 1 y 2 (b) ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ (2 , 1) y 1 y 2 (c) (1 , - 1) y 1 y 2 (d) ( - 1 , 1) y 1 y 2 (e) None of the above. Answer: c. 2
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2. The square shown below A : (1 , 1) B x 1 x 2 is transformed into the square ¡ ¡ @ ¡ @ @ A : ( 2 , 0) B : ( 2 / 2 , 2 / 2) y 1 y 2 by the matrix (a) - 2 / 2 2 / 2 2 / 2 2 / 2 (b) 2 / 2 - 2 / 2 2 / 2 2 / 2 (c) - 2 / 2 - 2 / 2 2 / 2 2 / 2 (d) 2 / 2 2 / 2 - 2 / 2 2
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LinAlg Test 3 [Nov 06] - The University of Western Ontario...

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