Systems of Linear Equations (Matrix Form)

★★★☆☆High School

📖Definition

Systems of equations can be expressed and solved in matrix form Ax = b.

📐Formulas

Ax = b

Matrix form of system

x = A⁻¹b

Solution using inverse (det(A) ≠ 0)

✏️Examples

예제 1★★★☆☆

Solve x + 2y = 5, 3x + 4y = 11 using matrices.

Applications

Engineering

Circuit analysis, structural analysis

Economics

Input-output analysis

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