To Find: Whether the given system has a unique solution. If yes, to find the solution.
Answer to Problem 12WE
The system does not have a unique solution.
Explanation of Solution
Given:
Formula Used:
If given system of equations are:
The above system can be represented as:
The solution to the system of equations is the matrix
There exists a unique solution to the system of equations if the matrix
For checking whether a matrix is invertible it is needed to verify that the determinant of the matrix is non-zero or not.
If the determinant of the given matrix is non-zero then the matrix is invertible.
Finding the determinant:
The determinant of the given matrix is zero so the matrix is not invertible.
Therefore, the system does not have a unique solution.
Chapter 16 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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