In Problems 27-38, the reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x , y ; or x , y , z ; or x 1 , x 2 , x 3 , x 4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [ 1 0 0 0 1 0 0 0 0 | 1 2 3 ]
In Problems 27-38, the reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x , y ; or x , y , z ; or x 1 , x 2 , x 3 , x 4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [ 1 0 0 0 1 0 0 0 0 | 1 2 3 ]
Solution Summary: The author explains that the system of equations corresponding to the reduced row echelon augmented matrix is inconsistent or has no solutions.
In Problems 27-38, the reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use
; or
; or
as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.
Expert Solution & Answer
To determine
To find: The system of equations corresponding to the given reduced row echelon augmented matrix and find the solution, if possible:
Answer to Problem 27AYU
Solution:
No solutions, inconsistent system.
Explanation of Solution
Given:
Calculation:
We see that the rank of the coefficient matrix is 2.
The rank of augmented matrix is 3.
Both the ranks are not equal.
The system of equations is inconsistent or has no solutions.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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