Concept explainers
In Exercises 1-5, use matrices to find the complete solution to each system of equations, or show that none exists.
The solution to the system of equations.
Answer to Problem 1MCCP
Solution:
Explanation of Solution
Given: The system of equations:
Consider the system of equations:
The augmented matrix is:
Now, let us perform the elementary row operations to find the echelon form of the matrix.
Now, the desired matrix is in row echelon form. Write the system of linear equations corresponding to the echelon form of matrix, that is:
Apply the back-substitution method:
Equation (III) gives,
Substitute the value of z in equation (II)
Simplify,
Substitute the values of y and z in equation (I)
Simplify
Hence,
Conclusion: Therefore,
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Chapter 6 Solutions
College Algebra (7th Edition)
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning