Calculus 2 - Midterm 2 Questions

# Calculus 2 - Midterm 2 Questions - MAT1332 Spring/Summer...

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MAT1332 Spring/Summer 2009 Midterm Exam 2 Questions Problem 1 (4 points) Solve the following system of equations: - 4 x + 5 y + z = 0 4 x + 10 y + 5 z = 2 - 5 x + 4 y + 2 z = 3 Problem 2 (5 points) Given a matrix A = - 1 5 - 3 0 - 3 0 - 4 - 5 - 2 circle all of the following claims that are true: 1. A is not invertible. 2. A is invertible. 3. The eigenvalues of A are - 1, - 3 and - 2. 4. The trace of A is - 6. 5. The determinant of A is 0. 6. The determinant of A is 42. 7. The determinant of A is 6. 8. The eigenvalues of A are 0,1 and - 3. 1

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Circle the correct value of each of the expressions below for a : = 4 - 3 i b : = 9 + 5 i c : =- 6 i d : = 1 - 7 i 1. ( ab ) c (a) 282 - 126 i (b) - 42 - 306 i (c) 42 - 306 i (d) - 36 - 104 i 2. ¯ cd -| a | (a) 5 - 4 i (b) 36 + 5 i (c) 47 - 6 i (d) 37 + 6 i 3. a c (a) - 1 2 + 2 3 i (b) 1 6 - 1 3 i (c) 1 2 + 2 3 i (d) 24 25 + 18 25 i 4. ¯ c
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Calculus 2 - Midterm 2 Questions - MAT1332 Spring/Summer...

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