To Check: Whether the given system has a unique solution:
Answer to Problem 11WE
Yes
Explanation of Solution
Given:
Formula Used:
If given system of equations are:
The above system can be represented as:
There exists a unique solution to the system of equations if the matrix A is invertible.
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 non zero so the matrix is invertible.
Therefore, the system hasa unique solution.
Chapter 16 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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