Concept explainers
To find: The solution to the given system of equations using matrices.
Answer to Problem 66AYU
Solution:
Inconsistent system, No 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 .
The corresponding matrix associated with the above system of equations is:
We see that the rank of the coefficient matrix is 2 and rank of augmented matrix is 3.
Since the rank of coefficient matrix and the rank of augmented matrix are not equal; therefore the given system of equations has no solutions.
Hence the given system of equations is inconsistent.
Chapter 11 Solutions
Precalculus
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