Matrices are rectangular arrays of numbers fundamental to linear algebra, computer graphics, machine learning, and engineering. Matrix operations transform data, solve systems of equations, and power 3D rendering engines. This calculator handles the most common operations for 2×2 through 4×4 matrices.
How to Use
Enter matrix values:
- Size: Select 2×2, 3×3, or 4×4
- Values: Fill in each cell
- Operation: Choose from 6 operations
Matrix Operations
- Addition/Subtraction: Element-wise, same dimensions required
- Multiplication: Rows × Columns (A columns must equal B rows)
- Transpose: Rows become columns
- Determinant: Single scalar value
- Inverse: A⁻¹ where A×A⁻¹ = I
Determinant
2×2: ad−bc. 3×3: Use cofactor expansion. A matrix with determinant 0 is singular (no inverse exists).
Step-by-Step Instructions
- 1Select the matrix size.
- 2Enter values for Matrix A.
- 3Choose the operation.
- 4Enter Matrix B if needed.
- 5View the result matrix.