## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Linear Algebra

Matrix Inversion

System of Equations

### Formulas

Inverse of a matrix A: A^{-1}

Determinant of a matrix

Conditions for a unique solution in a system of linear equations

### Theorems

A system of linear equations has a unique solution if and only if the coefficient matrix is invertible.

A matrix is invertible if its determinant is non-zero.

### Suitable Grade Level

Undergraduate

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