Math Problem Statement
Solve this question using matrices method
Find whether the following system of equations are consistent and solve them using the matrix method: x + 2y + 2z = 2; 3x - 2y - z = 5; 2x - 5y + 3z = -4; x + 4y + 6z = 0
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Systems of Linear Equations
Matrix Methods
Formulas
Ax = B
Matrix Inverse (if applicable) for solving linear equations
Determinant of a matrix
Theorems
Consistency of a system of linear equations
Matrix inversion for solving systems
Row reduction (Gaussian elimination)
Suitable Grade Level
Undergraduate or Advanced High School