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t2 previous math 1025 - York University Faculty of Arts...

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York University Faculty of Arts, Faculty of Science Math 1025 Class Test 2 NAME (print): (Family) (Given) SIGNATURE: STUDENT NUMBER: Instructions: 1. Time allowed: 50 minutes 2. There are 5 questions on 6 pages. 3. Answer all questions. 4. Your work must justify the answer you give. 5. No calculators or other aids permitted. Question Points Marks 1 5 2 18 3 6 4 5 5 6 Total 40
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MATH 1025 Test 2 Page 1 February 25, 2005 1. (5 points) Write the determinant of the matrix 0 0 0 0 2 0 3 0 0 0 2 0 3 0 0 5 0 1 0 0 0 0 0 2 0 as a product of its nonzero signed elementary products and compute its value.
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MATH 1025 Test 2 Page 2 February 25, 2005 2. Let A = 0 2 4 6 1 1 2 1 1 1 2 1 1 1 1 2 . (a) (6 points) Compute the determinant of A .
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MATH 1025 Test 2 Page 3 February 25, 2005 (b) (6 points) Find the 2-3 entry of A 1 .
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MATH 1025 Test 2 Page 4 February 25, 2005 (c) (6 points) Use Cramer’s rule to find the value of d where 2 b + 4 c + 6 d = 0 a + b + 2 c + d = 0 a + b + 2 c d = 1 a + b + c + 2 d = 0 (Only find d . You must use Cramer’s rule. No marks will be given if you use any other method.)
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