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solve these system of equations using matrix method 

The system of equations you provided appears to be inconsistent or dependent, resulting in no unique solution. The computed solution involves extremely large values, indicating the matrix may be singular or nearly singular. This suggests that the system does not have a clear or unique solution under normal conditions.

Would you like me to explore this further using an alternative method, such as Gaussian elimination or analyzing the system for dependencies?

Here are 5 related questions to expand understanding:
1. What is the determinant of the coefficient matrix, and what does it indicate?
2. Can we find a particular solution if the system is dependent?
3. How can the rank of a matrix help in determining whether a solution exists?
4. What role does matrix inversion play in solving systems of linear equations?
5. How can we use the Reduced Row Echelon Form (RREF) to analyze this system?

**Tip:** Always check the determinant of the coefficient matrix when solving a system of linear equations. If it's zero, the system is either dependent or inconsistent.

Solve these system of equations using matrix method

Learn how to solve a 3x3 system of linear equations using the matrix method. This problem involves solving for three variables using matrix algebra and exploring methods like Cramer's Rule and matrix inversion. Suitable for Grades 10-12.

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