The solution of given system of linear equations having unique solutions using Gaussian elimination or gauss-Jordan elimination.
Answer to Problem 27E
The solution for given system of linear equation is.
Explanation of Solution
Given:
Equation given,
Concept Used:
Calculation:
Consider first the given equations,
Step1:
In the first step first convert the given, equation into augmented matrix.
Step 2:
In the second step convert the augmented matrix into row echelon form.
For this row operation is performed. In the first row operation,
Perform,
Now the next row operation to be performed is,
next row operation to be performed is,
Step3:
In the step 3 again perform row operations,
First perform,
And,
Step 4:
The next step for row operation is,
And,
Step4:
In this the matrix is in row echloen form,
Divide
And,
Now the matrix is obtained in the row echelon form , write the equations from the matrix,
Step5:
In the step 5 values of
Conclusion:
Hence, the solution for given system is
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- 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