Matrix Calculator & Visualizer
Build matrices A and B, run common operations, and export results. This matrix calculator supports matrix multiplication, determinant, inverse, transpose, and solving linear systems. Everything runs locally in your browser.
Matrices A and B
Tip: use arrow keys to move between cells. Enter moves down.
Matrix A
Matrix B
Saved locally in your browser.
Operation & results
Choose an operation. Results update instantly.
A + B
| 0 | 0 | 0 |
| 0 | 0 | 0 |
| 0 | 0 | 0 |
What is a matrix calculator?
A matrix calculator is a tool for working with matrices: rectangular grids of numbers that represent linear relationships. Matrices show up everywhere in algebra, geometry, physics, computer graphics, data science, statistics, and machine learning. Common tasks include matrix multiplication, finding a determinant, computing an inverse (when it exists), and solving systems of linear equations.
Matrix multiplication and dimension rules
Matrix multiplication is not element-by-element multiplication. If A is an m×n matrix and B is an n×p matrix, then the product A×B is defined and produces an m×p matrix. The inner dimensions must match: the number of columns in A must equal the number of rows in B. This calculator checks those rules and explains why an operation is invalid when dimensions do not align.
Determinant and inverse
The determinant is a number computed from a square matrix. It is especially useful for reasoning about whether the matrix is invertible. If det(A) = 0, the matrix is singular and has no inverse. If the determinant is non-zero, then an inverse exists. This matrix calculator can compute det(A) and A⁻¹ for square matrices.
Solving a linear system Ax = b
Many problems can be written as Ax = b, where A is a square matrix, b is a vector of known values, and x is the unknown vector you want to find. This tool includes a solver for that scenario. If the system is singular or ill-posed, the solver will report that it cannot find a unique solution.
Exporting results (JSON and CSV)
When you’re done, you can copy the result as JSON or download it as a CSV file. JSON is convenient for code and APIs, while CSV is convenient for spreadsheets.
This matrix calculator runs entirely in the browser. It does not upload your matrices to a server, and it stores your last-used settings in localStorage for convenience (clearing your browser data will remove that history).