Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Equations
Determinants
Invertibility of Matrices

Formulas

Determinant of a 2x2 matrix: det(A) = ad - bc for matrix A = [[a, b], [c, d]]
Matrix multiplication: AX = B
Invertibility criterion: A matrix is invertible if det(A) ≠ 0

Theorems

A matrix is invertible if and only if its determinant is non-zero

Suitable Grade Level

College-level Linear Algebra