🔢 Math Calculator

📐 How It Works

Performs matrix operations: addition, subtraction, multiplication, transposition, and finding the determinant or inverse.

🔢 Worked Examples

• [1,2;3,4] × [5,6;7,8] = [19,22;43,50]
• 2×2 determinant: ad−bc
• Inverse: A⁻¹ = (1/det)×adj(A)

📋 Common Use Cases

• 3D computer graphics — transformation matrices
• Machine learning — neural network weights
• Economics — input-output models
• Physics — quantum state representations

💡 Did You Know?

Matrix multiplication is NOT commutative: AB ≠ BA in general. This asymmetry is fundamental to quantum mechanics, where the order of measurements matters — measuring spin along X then Y gives different results than Y then X.

⚠️ Common Mistake

Multiplying matrices of incompatible dimensions — A×B requires A to be m×n and B to be n×p (the inner dimensions must match).