Sample Test

Sample Test - EE 0304-870-32: Mathematics for Engrs I...

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Unformatted text preview: EE 0304-870-32: Mathematics for Engrs I Midterm Examination 1 Name: ____________________________ INSTRUCTIONS : 1.Please box your final answers. 2. Do not un-staple the exam under any circumstances. 3. Absolutely no communication between students is allowed during the examination. 4.You must show all work (details, derivations, carefully drawn & labeled graphs, equations, etc.) to receive credit. No details = no credit. All derivations must be clearly described showing each mathematical step. Prob 1: /20 Prob 2: /20 Prob 3: /20 Prob 4: /20 Prob 5: /20 =============== Total: /100 _____________________________________________________________________________ _ EE 0304-807-32 - Prof. S. Dianat Dept. of Electrical Engineering Fall 2007 Midterm Examination 1 Name:_________________________________ Fall 2007 Problem 1: (Each answer is worth 1 point unless indicated otherwise) (20 points) a) Let --- = 3 4 1 1 2 2 A => Det(3A) = _______________ Det (A 3 ) = _______________ Det (A-1 ) = _______________ Det (A T ) = _______________ Trace (A) = ______________ Trace (2A) = _____________ b) = 1 4 1 1 B => =- 1 B and Det (B-1 ) = ________________ c) Let = 1 1 1 A and = 3 2 4 5 2 2 B => Det (BA) = ________________ Det (AB 2 ) = ________________ Det (A-1 B-1 ) = ________________ Trace (3A+2B) = ________________ d ) Let A be factored into a product shown below : - = 2 2 4 3 1 2 1 1 1 1 4 1 A . Compute the value of Det (A). Answer: Det (A) = Find 23 a . Answer: 23 a = e) Let x 1 = (2, 1, -2) T , x 2 = (2, 1, 1) T and x 3 = (4, 2, -4)...
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Sample Test - EE 0304-870-32: Mathematics for Engrs I...

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