Concept explainers
To find: The solution to the given system of equations using matrices.
Answer to Problem 51AYU
Solution:
No solutions, Inconsistent system.
Explanation of Solution
Given:
Formula used:
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 .
Calculation:
Subtracting first equation from the second equation we get,
Now we get,
Or
Or
Then from the first equation we get,
Thus we get,
Both the above equations have the same LHS but different RHS (0 and ).
This is not possible.
Thus the given system of equations has no solutions and hence is inconsistent.
Chapter 11 Solutions
Precalculus
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