Concept explainers
To find: The solution to the given system of equations using matrices.
Answer to Problem 67AYU
Solution:
Consistent system, infinitely many solutions.
Explanation of Solution
Given:
Calculation:
To solve a system of three equations in and using matrices:
Step 1: Write the corresponding matrix associated with the system of equations.
Step 2: Use elementary row operations to get equivalent matrix of the form:
; where are constants.
Step 3: Solve for and .
Here the number of variables is 3, whereas the number of equations is 2.
Since the number of equations is less than the number of variables, therefore the given system of equations is consistent and has infinitely many solutions.
Chapter 11 Solutions
Precalculus
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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