Given the matrices: [0 1-3 -11 10 1 A = 3 1 0 1 and 0 = V 11-2 0 W a. Use the Gauss elimination method to reduce the matrix A to the echelon form. b. Choose the system of equations Ax = 0. Then answer the following questions: 13. The set of vectors: [101 1]L [310 2] is linearly independent. Answer: yes or no 15. The set of vectors: [310 2], [11-2, 0] is linearly independent. Answer: yes or no 7. The set of vectors: [0 1-3-1] [101 1], [11-2, 0] is linearly independent. Answer: yes or no 6. The set of vectors: [0 1-3-11, [1011], [310 2], is linearly dependent. Answer: yes or no

Given the matrices: [0 1-3 -11 10 1 A = 3 1 0 1 and 0 = V 11-2 0 W a. Use the Gauss elimination method to reduce the matrix A to the echelon form. b. Choose the system of equations Ax = 0. Then answer the following questions: 13. The set of vectors: [101 1]L [310 2] is linearly independent. Answer: yes or no 15. The set of vectors: [310 2], [11-2, 0] is linearly independent. Answer: yes or no 7. The set of vectors: [0 1-3-1] [101 1], [11-2, 0] is linearly independent. Answer: yes or no 6. The set of vectors: [0 1-3-11, [1011], [310 2], is linearly dependent. Answer: yes or no

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Given the matrices:
[0 1-3 -11
10 1
A =
3 1 0
1
and 0 =
V
11-2 0
W
a. Use the Gauss elimination method to reduce the matrix A to the echelon form.
b. Choose the system of equations Ax = 0.
Then answer the following questions:
13. The set of vectors: [101 1]L [310 2] is linearly independent. Answer:
yes or no
15. The set of vectors: [310 2], [11-2, 0] is linearly independent. Answer:
yes or no
7. The set of vectors: [0 1-3-1] [101 1], [11-2, 0] is linearly independent.
Answer: yes or no
6. The set of vectors: [0 1-3-11, [1011], [310 2], is linearly dependent.
Answer: yes or no

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