## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Linear Algebra

Matrix Inversion

Matrix Multiplication

Systems of Linear Equations

### Formulas

X = A^{-1} * B (where X is the solution vector, A^{-1} is the inverse of matrix A, and B is the given vector)

Matrix multiplication formula for two matrices: (AB)_{ij} = \sum_{k=1}^{n} A_{ik} B_{kj}

### Theorems

Inverse Matrix Theorem (for finding solutions to systems of linear equations)

### Suitable Grade Level

Grades 10-12

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