ef2-415 - Name: MTH 415 Practice Final Exam August 17, 2009...

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Name: PID Number: MTH 415 Practice Final Exam August 17, 2009 No calculators or any other devices are allowed on this exam. Read each question carefully. If any question is not clear, ask for clarification. Write your solutions clearly and legibly; no credit will be given for illegible solutions. Answer each question completely, and show all your work. If you present different answers, then the worst answer will be graded. Signature: Problem Points Score 1 20 2 20 3 20 4 20 5 20 6 20 7 20 8 20 9 20 10 20 Σ 200 1
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1. (20 points) Consider the matrix A = 5 3 1 1 2 - 1 2 1 1 . Find the coefficients ( A - 1 ) 21 and ( A - 1 ) 32 of the matrix A - 1 , that is, of the inverse matrix of A . Show your work.
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(20 points) (a) Find k R such that the volume of the parallelepiped formed by the vectors below is equal to 4, where v 1 = 1 2 3 , v 2 = 3 2 1 , v 3 = k 1 1 (b) Set k = 1 and define the matrix A = [ v 1 , v
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This note was uploaded on 10/28/2010 for the course MATH Math 415 taught by Professor Dr.gabrielnagy during the Spring '09 term at Michigan State University.

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ef2-415 - Name: MTH 415 Practice Final Exam August 17, 2009...

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