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.
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.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 14CT
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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