To Find: the value of
Answer to Problem 72E
The solution to the given system is all of the form:
Explanation of Solution
Given information:
System of equations are:
Concept Used: Gauss-Jordan Elimination is the process of performing row operations to transform any matrix into row echelon form. In reduced row echelon form, each successive row of the matrix has less dependencies than the previous
Calculation:
System of equations are:
Gauss-Jordan Elimination is used to obtain the row echelon form of the linear system above
Write the augmented matrix:
Now, apply elementary row operations until obtain zeros above each of the leading 1’s, as follows:
The corresponding system of equation is
To write a solution to the system that does not use any of the three variables of the system, let
Now substitute
The solution to the given system is all of the form
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning