Can I share my matrix calculation with others?

Yes — click the 'Share' button to copy a URL that encodes your matrices and selected operation. Anyone opening that link will see the same matrices pre-loaded.

Matrix Calculator — Multiply, Inverse, Determinant & More

Q: How do I multiply two matrices?

Enter values in Matrix A and Matrix B, select 'A × B' from the operation panel, then click Calculate. The number of columns in Matrix A must equal the number of rows in Matrix B.

Q: What is the largest matrix this calculator supports?

This calculator supports matrices from 1×1 up to 15×15. All operations run entirely in your browser — no server required.

Q: Is this matrix calculator free to use?

Yes, completely free. No account, no subscription, no data sent to any server. Everything runs in your browser.

Matrix A Input

Operation

Press Enter in any cell to recalculate

Matrix B Input

Calculation History (click to collapse)

Free Online Matrix Calculator — Step-by-Step Solutions

Solve matrix operations instantly in your browser. Enter your matrices, choose an operation, and get a detailed step-by-step solution — no login, no download, completely free.

📐 Supported Matrix Operations

Matrix Multiplication (A × B) — dot product of rows and columns
Matrix Addition (A + B) — element-wise sum
Matrix Subtraction (A − B) — element-wise difference
Transpose (Aᵀ) — flip rows and columns
Determinant det(A) — computed via LU decomposition
Inverse A⁻¹ — Gauss-Jordan elimination
Scalar Multiplication k × A — multiply every entry by k

🚀 How to Use This Calculator

Set matrix dimensions using the row/column dropdowns (up to 15×15)
Enter values manually or click 🎲 Random to auto-fill
Select an operation from the center panel
Click ▶ Calculate to compute instantly
Use playback controls to walk through each step

⭐ Extra Features

🔗 Share link — encode matrices in a shareable URL
📥 Export to CSV — download result as a spreadsheet
📋 Copy to clipboard — tab-separated for Excel/Sheets
📐 Copy LaTeX — paste directly into LaTeX documents
🕑 History — previous calculations saved in browser
🌙 Dark / Light mode — saved across sessions
⌨️ Keyboard navigation — arrow keys between cells

Frequently Asked Questions

How do I multiply two matrices?

Enter values in Matrix A and Matrix B, select A × B from the operation panel, then click Calculate. The number of columns in Matrix A must equal the number of rows in Matrix B. The calculator will show you each dot-product step.

What is the largest matrix this calculator supports?

This calculator supports matrices from 1×1 up to 15×15 for all operations. Everything runs entirely in your browser — no server required — so performance stays fast even at large sizes.

How is the matrix inverse calculated?

The inverse is computed using Gauss-Jordan elimination on the augmented matrix [A | I]. Partial pivoting is applied for numerical stability. Each row operation is displayed step by step in the visualization panel. If the matrix is singular (determinant = 0), the calculator will notify you.

Can I share my calculation with someone else?

Yes — click the 🔗 Share button at the top. It copies a URL to your clipboard that encodes both matrices and the selected operation right in the URL hash. Anyone opening that link will see the same matrices loaded and can recalculate instantly.

Is this matrix calculator free to use?

Completely free. No account, no subscription, no data sent to any server. Your matrices and history stay entirely within your browser using localStorage.

What is matrix determinant used for?

The determinant is a scalar value that reveals properties of a square matrix. A non-zero determinant means the matrix is invertible (non-singular). Determinants are used in solving linear systems (Cramer's rule), computing eigenvalues, and in 3D graphics for transformations.