Given the matrices: 01-3 -11 10 1 1 A = 31 0 2 =X' V and 0 = 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>01-3 -11<br>10 1 1<br>A =<br>31 0 2<br>=X'<br>V<br>and 0 =<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>10. The set of vectors: [0 1 -3 -1], [1 01 1] is linearly independent.<br>Answer: yes or no<br>Choose<br>20. det(A') is non zero. Answer yes or no<br>Choose<br>18. The system Ax= 0 has a non-trivial solution. Answer yes or no<br>Choose<br>

Extracted text: Given the matrices: 01-3 -11 10 1 1 A = 31 0 2 =X' V and 0 = 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: 10. The set of vectors: [0 1 -3 -1], [1 01 1] is linearly independent. Answer: yes or no Choose 20. det(A') is non zero. Answer yes or no Choose 18. The system Ax= 0 has a non-trivial solution. Answer yes or no Choose

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Jun 05, 2022

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Given the matrices: 01-3 -11 10 1 1 A = 31 0 2 =X' V and 0 = 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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