Given the matrices: [0 1 -3 -11 10 1 A = 3 1 0 1 u and 0 = V X= 1 1-2 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...

Given the matrices:<br>[0 1 -3 -11<br>10 1<br>A =<br>3 1 0<br>1<br>u<br>and 0 =<br>V<br>X=<br>1 1-2 0<br>W<br>a. Use the Gauss elimination method to reduce the matrix A to the echelon form.<br>b. Choose the system of equations Ax = 0.<br>Then answer the following questions:<br>13. The set of vectors: [101 1], [310 2] is linearly independent. Answer:<br>yes or no<br>15. The set of vectors: [310 2], [11-2, 0] is linearly independent. Answer:<br>yes or no<br>7. The set of vectors: [0 1-3-1], [1011], [11-2, 0] is linearly independent.<br>Answer: yes or no<br>6. The set of vectors: [0 1-3-1], [101 1], [3 102], is linearly dependent.<br>Answer: yes or no<br>

Extracted text: Given the matrices: [0 1 -3 -11 10 1 A = 3 1 0 1 u and 0 = V X= 1 1-2 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], [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], [1011], [11-2, 0] is linearly independent. Answer: yes or no 6. The set of vectors: [0 1-3-1], [101 1], [3 102], is linearly dependent. Answer: yes or no

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Jun 05, 2022

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Given the matrices: [0 1 -3 -11 10 1 A = 3 1 0 1 u and 0 = V X= 1 1-2 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...

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