Test3D_Spring08

# Test3D_Spring08 - a b c d e f None of the above Question 5...

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Test 3D Spring 08 Question 1 Your answer is CORRECT. The linear, homogeneous, constant coefficient equation of least order that has as a solution is a) b) c) d) e) f) None of the above. Question 2 Your answer is INCORRECT. Give a particular solution to a) b) c) d) e) f) None of the above.

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Question 3 Your answer is CORRECT. Let Use interval notation to describe the set of values of a for which C is a nonsingular matrix. a) ( - , -1 ) ( 2 , 2 ) ( 2 , ) b) ( - , -3 ) ( -3 , 2 ) ( 2 , ) c) ( - , -2 ) ( -2 , 2 ) ( 2 , ) d) ( - , -2 ) ( -2 , 1 ) ( 1 , ) e) ( - , -1 ) ( -1 , 2 ) ( 2 , ) f) None of the above.
Question 4 Your answer is CORRECT. is an eigenvalue of and is a corresponding eigenvector. Give the general solution to

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Unformatted text preview: a) b) c) d) e) f) None of the above. Question 5 Let be a set of vectors with a) Determine whether S is linearly dependent or linearly independent. b) If S is linearly dependent, express one of the vectors as a linear combination of the other two. Question 6 Let a) Determine whether or not A has an inverse. b) If it does, find A-1 . Question 7 One of the eigenvalues of the matrix is -2. Part a: Find the characteristic equation of A . Part b: Find the eigenvalues of A . Part c: Find an eigenvector corresponding to the eigenvalue -2. Question 8 The eigenvalues of are -2 and -3. a) Find the corresponding eigenvectors. b) Find the solution of the initial value problem...
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Test3D_Spring08 - a b c d e f None of the above Question 5...

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