Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Inversion
Determinants
Systems of Linear Equations

Formulas

Determinant formula for 2x2 matrix: det(A) = ad - bc
Matrix multiplication formula
Matrix equation: A * X = B

Theorems

If det(A) = 0, the matrix A is singular and has no inverse.
Cramer's Rule (for solving systems of equations using determinants)

Suitable Grade Level

College/University level (Linear Algebra)