Matrix Calculator

Perform 2x2, 3x3, and NxN matrix operations: Matrix Addition, Subtraction, Matrix Multiplication ($A \times B$), Transpose ($A^T$), Determinant ($det(A)$), and Matrix Inverse ($A^{-1}$).

Why Use This Tool?

• Linear Algebra Homework: Verify matrix operations, determinants, and inverses for linear algebra.
• 3D Graphics & Game Dev: Compute 3D transformation matrices and vector dot products.
• Machine Learning & Data Science: Inspect matrix multiplication dimensions and linear systems.

How to Use

1. Select Matrix Dimensions (2x2, 3x3, 4x4 or Custom NxM).
2. Enter numerical values into Matrix A and Matrix B grids.
3. Select Operation (+, -, *, Determinant, Inverse, Transpose) to view result grid.

Real Working Example

Input:

Matrix A (2x2): [[1, 2], [3, 4]] | Operation: Determinant det(A)

Output Result:

det(A) = (1*4) - (2*3) = -2 | Inverse A⁻¹: [[-2, 1], [1.5, -0.5]]

Important Technical Details & Formulas

• Gaussian Elimination Engine: Computes matrix determinants and inverses using Gaussian elimination.
• Dimension Validation: Enforces valid matrix inner dimension matching for matrix multiplication ($m \times n$ and $n \times p$).
• 100% Local Execution: Zero network overhead.

Related Mathematics & Financial Tools

• Quadratic Equation Solver: Solve quadratic equations.
• Math Evaluator: Evaluate complex math expressions.
• Combinatorics Calculator: Compute permutations and combinations.