MAT1332 3X Mock Final Exam

MAT1332 3X Mock Final Exam - Mock Final Exam MAT 1332 3x 1....

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Mock Final Exam MAT 1332 3x 1. Solve the following systems by first predicting whether there will be one solution, no solution or infinitely many solutions. (5 Marks) (.5 mark for each correct method, .5 mark for correct answer) a. 2x – 2y + 3z = 3 4x – 3y + 3z = 2 -x + y –z = 4 b. 2x + y = 4a aER x + ay = 2 c. 3x + 3y + 2z = 7 5y + z = 4 -3y + z = -4 d. x + y = 2 2x – y = 1 e. x + y = 2 x + y = 0 2. Find the inverse of the following matrix and check it ! (1 Mark) a. A = 1234 3. Define “Eigenvalue” and “Eigenvector ” (2 Marks) a. For ‘Eigen value” show 2 equations associated with the concept b. Find Eigenvectors for the following Matrix: A = - - 401 210 201
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4. Find Eigenvalues and Eigenvectors for the following matrix: a. A = - - - 1430430 2 1 (2 Marks) b. Check your eigenvector by using the formula AX = λX (1 Mark) 5. The eigenvalues of a matrix are 4 and 1 and the corresponding eigenvectors - t t and / 2 3tt a. Determine the dynamical system (5 Marks) b. Evaluate it for n = 10 (1 Mark) 6. In the absence of rabbits, the population of wolves decreased by 14%/year. In the absence
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This note was uploaded on 06/17/2008 for the course MAT 1332 taught by Professor Munteanu during the Spring '07 term at University of Ottawa.

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MAT1332 3X Mock Final Exam - Mock Final Exam MAT 1332 3x 1....

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