Math Problem Statement
2x + y + 4z equals to 12, 8X - 3y + 2z is equal to 20, 4x + 11 y - z is equal to 33. Solve the given equations by using Matrix method
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Matrix Method
Systems of Linear Equations
Formulas
Matrix equation: AX = B
Inverse of a matrix: A^{-1}
Matrix multiplication: X = A^{-1}B
Theorems
Inverse Matrix Theorem
Determinant and Non-singularity
Suitable Grade Level
Grades 11-12 or Introductory College Level
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