Linear Algebra and Its Applications 4th Edition

Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.Solve the problem. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.Solve the problem. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve

Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the matrix product AB for the partitioned matrices. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.Find the matrix product AB for the partitioned matrices. MULTIPLE CHOICE. Choose the one alternative

Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Compute the determinant of the matrix by cofactor expansion. 1) 2-2 6 4 2 2 7 1 6-614 14 -2 2 -6 1 1) A) 80 B) -40 C) -160 D) -80 Answer:CExplanation:A)B)C)D) Answer:CExplanation:A)B)C)D) Answer: C Explanation: A) B) C) D) 2) 4 1 5 5 4 3 4 1 4 2) A) -11 B) 11 C) 213 D) -35 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) 3) -1 2 -1 4 3 -2 -3-4-1 3) A) -38 B) 38 C) 14 D) 24 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) 4) 8 0 0 7-4 0 -4 2 2 4) A) -64 B) 50 C) 64 D) -78 Answer:AExplanation:A)B)C)D) Answer:AExplanation:A)B)C)D) Answer: A Explanation: A) B) C) D) 1 5) 4 1 2 -4-1-5 8 5

Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 1) A mathematician has found 4 solutions to a homogeneous system of 36 equations in 39 variables. The 4 solutions are linearly independent and all other solutions can be constructed by adding together appropriate multiples of

Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. For the given matrix A, find a basis for the corresponding eigenspace for the given eigenvalue. 1) A =1- 4 - 4 - 4 1 4 4- 4 - 7 , = -3 1) A) 0 1 -1 B) 1 0 1, 0 1 -1 C) 1 0 -1, 0 1 1 D) 1 0 -1 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Find the eigenvalues of A, and

Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find a QR factorization of the matrix A. 1) A = 0 1 1 1 1 0 -1-1 1 1 -1 1 1) A) Q = 0 3 14 1 2 2 -1-2 9 1 -4 7 , R = 330 0 1311 33 0 0-3 33 30 330 B) Q =

Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find a singular value decomposition of the matrix A. 1) A =-9 0 0 5 1) A) A = 1 0 0 1 -9 0 0 51 0 0 1 B) A =-1 0 0 1 9 0 0 5 1 0 0 1 C) A =-9 0

Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the barycentric coordinates of p with respect to the affinely independent set of points that precedes it. 1) 1 1, 3 5, 0 6, p= 11 2 -1 2 1) A) 2, 5 2, -7 2 B) 1, 3 2, -3 2 C) (-9, 3, 7) D) 3 2, -3 2, 1 Answer:BExplanation:A)B)C)D) Answer:BExplanation:A)B)C)D) Answer: B Explanation: A) B) C) D) Provide an appropriate response. 2) Suppose {v1, v2, v3} is

Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) A set S in Rn is convex if, for each p and q in S, the line segment between p and q lies in S. [This line segment is the set of points