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About Matrix Calculator

Perform matrix operations without writing code or working through tedious row operations by hand. This calculator handles addition, subtraction, multiplication, transposition, determinants, inverses, and eigenvalue computation for matrices up to a practical size limit.

Getting Started

  1. 1Set the matrix dimensions (rows × columns)
  2. 2Enter values into the grid cells or paste a formatted matrix
  3. 3Select an operation: add, multiply, transpose, determinant, inverse, etc.
  4. 4For binary operations (add, multiply), enter a second matrix
  5. 5View the result matrix and copy it if needed

What You Get

  • Matrix addition, subtraction, and scalar multiplication
  • Matrix multiplication with dimension validation
  • Transpose, determinant, and trace
  • Matrix inverse via Gauss-Jordan elimination
  • Eigenvalue computation
  • Support for matrices up to 10×10
  • Copy/paste support for matrix data

Technical Details

Enter matrices in a grid interface or paste them as comma-separated rows. The tool validates dimensions before performing operations — for example, it will warn you if you try to multiply matrices with incompatible sizes. Determinant calculation uses LU decomposition for efficiency, and the inverse is computed via Gauss-Jordan elimination. Results are displayed in a clean grid with the option to copy for use elsewhere.

Perfect For

  • Linear algebra coursework

    Verify hand-calculated matrix operations — multiply, invert, find determinants.

  • Computer graphics

    Build and test transformation matrices for rotation, scaling, and translation.

  • Data science

    Inspect covariance matrices or test small linear systems before scaling up in code.

  • Engineering simulations

    Check stiffness matrices and system-of-equation setups for structural analysis.

Frequently Asked Questions

What is the maximum matrix size?

The tool supports matrices up to 10×10. Larger matrices are better handled in dedicated math software.

Can I enter decimal or negative values?

Yes. Any real number is accepted in the matrix cells, including negatives and decimals.

What happens if the matrix is singular?

The tool will report that the matrix has no inverse and display a determinant of zero.

Privacy First

All processing happens directly in your browser. Your files never leave your device and are never uploaded to any server.