COURSE: MA 222 LINEAR ALGEBRAINSTRUCTOR: AYHAN SEVİMDATE: May 21, 2010TIME: 10:00-11:30 (90 Minutes)The number of points for each problem is given in the brackets. Show all your work. Correct answers without sufficient explanation might not get full credit. Calculators are not allowed. Final exam affects 60% on grading.FINAL EXAM QUESTIONS 1. (10 points) Solve ࢠby using Cramer’s rule, for the following system 3ݔ 2ݕ ݖ ൌ 32ݔ 4ݕ 3ݖ ൌ 4െݔ ݕ 5ݖ ൌ 82. (15 points) An economy is based on three sectors, agriculture (A), manufacturing (M), and energy (E). Production of a dollar’s worth of agriculture requires an input of $0.20 from the agriculture, $0.20 from manufacturing and $0.20 from the energy. Production of a dollar’s worth of manufacturing requires an input of $0.40 from the agriculture, $0.30 from the manufacturing, and $0.10 from energy. Production of a dollar’s worth of energy requires an input of $0.30 from the agriculture, $0.10 from the manufacturing, and $0.10 from the energy sector.
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