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Unformatted text preview: NC State University MA 405. Linear Algebra Mathematics Department Dr. Alina Duca Practice FINAL EXAMINATION INSTRUCTIONS: This is a 2 h exam. Show your work and justify your steps for full credit. Partial credit will be given for correct work neatly presented. No texts, notes, or other aids are permitted. Calculators are NOT permitted. Please turn off your cellphones. Please check that you have all 2 pages. Please be careful not to loosen the staple. The value of each question is indicated in the lefthand margin beside the statement of the question. The total value of all questions is 0. Answer all questions on the exam paper in the space provided beneath the question. EXAM QUESTIONS: 1. Answer each part True or False. Justify, if possible. (a) If S is a subspace of a vector space V of dimension n and dim( S ) = n , then S = V . (b) If A = 2 1 1 1 1 2 2 , then CS ( A ) = R 3 ....
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 Spring '08
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