Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linear equations, do the following. (Use x1, x2, x3, and x4, as your variables, each representing the columns in turn.) 1 0 0 0 9 0 1 1 0 −1 0 0 0 1 7 (a) Determine whether the system has a solution. The system has one solution.The system has infinitely many solutions. The system has no solution. (b) Find the solution or solutions to the system, if they exist. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) (x1, x2, x3, x4) =
Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linear equations, do the following. (Use x1, x2, x3, and x4, as your variables, each representing the columns in turn.) 1 0 0 0 9 0 1 1 0 −1 0 0 0 1 7 (a) Determine whether the system has a solution. The system has one solution.The system has infinitely many solutions. The system has no solution. (b) Find the solution or solutions to the system, if they exist. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.) (x1, x2, x3, x4) =
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
Related questions
Question
Given that the augmented matrix in row-reduced form is equivalent to the augmented matrix of a system of linear equations, do the following. (Use x1, x2, x3, and x4, as your variables, each representing the columns in turn.)
|
|
1 | 0 | 0 | 0 | 9 |
|
|||
| 0 | 1 | 1 | 0 | −1 | |||||
| 0 | 0 | 0 | 1 | 7 |
(a) Determine whether the system has a solution.
(b) Find the solution or solutions to the system, if they exist. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.)
The system has one solution.The system has infinitely many solutions. The system has no solution.
(b) Find the solution or solutions to the system, if they exist. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameters t and/or s.)
(x1, x2, x3, x4) =
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