
To find: The solution to the given system of equations using matrices.

Answer to Problem 57AYU
Solution:
Consistent system of equations, one solution.
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:
The corresponding matrix associated with the above system of equations is:
Thus we get the following equations:
Solving we get,
Hence the solutions are: .
Chapter 11 Solutions
Precalculus
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