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Matrix Calculator

Add, subtract, multiply, transpose, find determinant and inverse.

Matrix Size:

Matrix A

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Matrix B

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About Matrix Calculator

Stop doing complex calculations by hand or searching for formulas. Matrix Calculator lets you add, subtract, multiply, transpose, find determinant and inverse in seconds with a clean, easy-to-use interface. Enter your values and get instant, accurate results along with step-by-step breakdowns where applicable.

How to Use

Enter your values Fill in the required input fields with your numbers. Use tab to move between fields quickly.

See instant results Results calculate automatically as you type — no need to press a button. Watch the output update in real time.

Review the breakdown Check the detailed breakdown, charts, or tables below the main result for a deeper understanding.

Adjust and compare Change any input value to instantly see how it affects the result. Great for comparing different scenarios.

🔒 Privacy note: All processing happens locally in your browser. Your data is never sent to any server.

Why Use Matrix Calculator?

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Accurate & Reliable Matrix Calculator uses standard mathematical formulas and algorithms, verified against reference implementations. Trust the results for homework, work, or personal use.

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Clear Explanations Get more than just a number. Where applicable, see step-by-step breakdowns, visual representations, and context that helps you understand the result.

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Instant Calculation Results update as you type — no need to press a calculate button or wait for a server response. Real-time feedback helps you explore different scenarios quickly.

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No Data Collection Your inputs are processed locally in your browser. No data is stored, transmitted, or used for any purpose. Close the tab and everything is gone.

Frequently Asked Questions

Matrix multiplication A×B is defined only when the number of columns in A equals the number of rows in B. For square matrices of the same size (like 2×2 or 3×3), this is always possible.

The determinant of a square matrix is a scalar value that encodes information about the linear transformation. A non-zero determinant means the matrix is invertible. A zero determinant means the matrix is singular (non-invertible) and the system of equations has no unique solution.

For a 2×2 matrix [[a,b],[c,d]], the inverse is (1/det) × [[d,−b],[−c,a]]. For a 3×3 matrix, the inverse is computed using the cofactor matrix divided by the determinant. If det = 0, the matrix has no inverse.