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1. Use Gauss-Jordan Elimination to find the solution to the system of equations. Show all of your work including the row operations you used. You can use either my notation or the book's notation. x2z = -3 3x - 2y4z = -9 x - 4y + 2z = -3 1. Write the system as a matrix equation. 2. Write the system as an augmented matrix. 3. Use Gauss-Jordan Elimination to solve the system. 4. How many solutions are there to the system, explain how you know. 5. What is the rank of A? 6. Write the system as a vector equation and parametric equation. 7. Give a geometric description of the solution. 8. Solve the associated homogeneous system. 9. Determine if the associated homogeneous system has only the trivial solution? Explain how you know. 10. Determine the number of free variables in the system. Explain how you know.

1. Use Gauss-Jordan Elimination to find the solution to the system of equations. Show all of your work including the row operations you used. You can use either my notation or the book's notation. x2z = -3 3x - 2y4z = -9 x - 4y + 2z = -3 1. Write the system as a matrix equation. 2. Write the system as an augmented matrix. 3. Use Gauss-Jordan Elimination to solve the system. 4. How many solutions are there to the system, explain how you know. 5. What is the rank of A? 6. Write the system as a vector equation and parametric equation. 7. Give a geometric description of the solution. 8. Solve the associated homogeneous system. 9. Determine if the associated homogeneous system has only the trivial solution? Explain how you know. 10. Determine the number of free variables in the system. Explain how you know.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 3CC
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1. Use Gauss-Jordan Elimination to find the solution to the system of equations. Show all of your work including the row operations you used. You can use either my notation or the book's notation. x - 2z = -3 3x - 2y - 4z = -9 x - 4y + 2z = -3 1. Write the system as a matrix equation. 2. Write the system as an augmented matrix. 3. Use Gauss-Jordan Elimination to solve the system. 4. How many solutions are there to the system, explain how you know. 5. What is the rank of A? 6. Write the system as a vector equation and parametric equation. 7. Give a geometric description of the solution. 8. Solve the associated homogeneous system. 9. Determine if the associated homogeneous system has only the trivial solution? Explain how you know. 10. Determine the number of free variables in the system. Explain how you know.
Transcribed Image Text:1. Use Gauss-Jordan Elimination to find the solution to the system of equations. Show all of your work including the row operations you used. You can use either my notation or the book's notation. x - 2z = -3 3x - 2y - 4z = -9 x - 4y + 2z = -3 1. Write the system as a matrix equation. 2. Write the system as an augmented matrix. 3. Use Gauss-Jordan Elimination to solve the system. 4. How many solutions are there to the system, explain how you know. 5. What is the rank of A? 6. Write the system as a vector equation and parametric equation. 7. Give a geometric description of the solution. 8. Solve the associated homogeneous system. 9. Determine if the associated homogeneous system has only the trivial solution? Explain how you know. 10. Determine the number of free variables in the system. Explain how you know.
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