Using matrix capabilities of a graphing utility or graphing calculator to write the matrix in row-echelon form
Answer to Problem 83E
The solution set can be written as
Explanation of Solution
Given:
The system of equations
Let consider the following system of equations
The augmented matrix for the above system of equations is
Use matrix capabilities of a graphing utility or graphing calculator to write the matrix in row-echelon form and get the row-echelon form as
By converting back to the corresponding system of equations,
Solving for x and y in terms of z,
Here the variables x,y and z depend on each other, so infinite number of solutions.
To write a solution of the system that does not use any of the four variables of the system, let a is a real number such that
Now, by the above equation,
So, the solution set can be written as
Where, a is any real number.
Chapter 8 Solutions
EBK PRECALCULUS W/LIMITS
- 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