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Determinant, inverse, eigenvalues, multiplication and Ax = b — with steps shown.
4
3
Full rank
6
Sum of the diagonal
| 0.75 | 0.5 | 0.25 |
| 0.5 | 1 | 0.5 |
| 0.25 | 0.5 | 0.75 |
| 2 | -1 | 0 |
| -1 | 2 | -1 |
| 0 | -1 | 2 |
| 3 | -1 | 0 |
| -1 | 3 | -1 |
| 0 | -1 | 3 |
| 1 | -1 | 0 |
| -1 | 1 | -1 |
| 0 | -1 | 1 |
| 2 | -1 | 0 |
| -1 | 2 | -1 |
| 0 | -1 | 2 |
| 4 | -2 | 0 |
| -2 | 4 | -2 |
| 0 | -2 | 4 |
| 5 | -4 | 1 |
| -4 | 6 | -4 |
| 1 | -4 | 5 |
| 1 | 0 | 0 |
| 0 | 1 | 0 |
| 0 | 0 | 1 |
L (lower)
| 1 | 0 | 0 |
| -0.5 | 1 | 0 |
| 0 | -0.6667 | 1 |
U (upper)
| 2 | -1 | 0 |
| 0 | 1.5 | -1 |
| 0 | 0 | 1.3333 |
Vector b
Solution x
Matrices up to 8×8. Determinant, inverse, LU and eigenvalues are computed with mathjs; rank, RREF and Ax = b use partial-pivoting Gauss-Jordan so the steps match what you would write by hand. Nothing is sent to a server.
Matrix Calculator computes determinant, inverse, transpose, rank, trace, adjugate, powers, LU decomposition and eigenvalues for a matrix, does A+B / A-B / A x B, solves Ax = b, and shows Gaussian elimination step by step. It runs entirely in your browser and exports results as LaTeX, text or CSV.
Do real linear algebra in the browser. Enter two matrices of any size and get the determinant, inverse, transpose, rank, trace, adjugate, powers, LU decomposition, eigenvalues and eigenvectors, plus A+B, A-B, A x B and scalar multiples. It also solves systems of linear equations Ax = b and reduces any matrix to row echelon form with every elimination step shown, so you can follow the arithmetic rather than just copy an answer. Results come with a step-by-step trail for Gaussian elimination, an exact-fraction display mode for clean textbook answers, and one-click copy as LaTeX, plain text or CSV. Everything is computed locally with mathjs — no matrix ever leaves your device.
Matrix Calculator performs essential linear algebra operations—such as finding determinants, inverses, eigenvalues, and solving systems of linear equations—directly in your browser with no installation required. It provides detailed, step-by-step trails for Gaussian elimination and an exact-fraction display mode, making it ideal for checking homework or understanding the arithmetic behind matrix transformations. Because all calculations run locally via client-side processing, your data never leaves your device, ensuring complete privacy.
Good to know: This tool is designed for standard linear algebra calculations and may not suit ultra-large scale enterprise datasets or specialized symbolic programming environments.
Learn how to compute determinants, inverses, eigenvalues, and solve linear systems with step-by-step Gaussian elimination.
Enter your matrix dimensions and values
Input your matrices into the browser tool, specifying the required size and numerical values for your calculation.
Select your desired matrix operation
Choose from operations like addition, multiplication, determinant, inverse, eigenvalues, or solving a linear system Ax = b.
Review the step-by-step solution trail
Follow the detailed arithmetic and Gaussian elimination steps shown to understand how the final answer was derived.
Copy or export your results
Use the one-click copy feature to export your computed results instantly as LaTeX, plain text, or CSV.
Estimated time: PT2M
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