To solve: The system of the linear equations using the matrices if possible and use Gaussian elimination with the back-substitution.
Explanation of Solution
Given:
The linear equations are given as:
The augmented matrix for the given linear equation:
Now for using the Gaussian elimination with the back substitution, the above matrix needs to be converted into the row echelon form by the elementary row transformation.
Hence, the system of the equation will be:
Now, solving the equation:
Therefore, the solution of the system:
Chapter 8 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning