Matrix Determinant

Compute the determinant of any square matrix (N×N up to 10×10) via Gaussian elimination with partial pivoting.

How to use the Matrix Determinant

1

Enter your matrix

Input the matrix values row by row. Supports 2×2, 3×3, and 4×4 matrices.

2

Calculate the determinant

Click Calculate. The tool computes the determinant using cofactor expansion.

3

Interpret the result

A non-zero determinant means the matrix is invertible. A zero determinant means it is singular.

4

Use the result

Copy the determinant value for use in solving systems of equations or other calculations.

Pro tips

  • A determinant of zero means the matrix has no inverse.
  • For 2×2 matrices, the formula is ad − bc.
  • Use Matrix Inverse to check if a matrix is invertible.

Key features

  • 100% Free
    No signup, no credit card, no hidden limits.
  • Privacy First
    All processing happens in your browser — your data never leaves your device.
  • Instant Results
    Process in seconds with no uploads, no waiting, no server delays.
  • Works Offline
    Once loaded, the tool works without an internet connection.

About the Matrix Determinant

The Matrix Determinant is part of LaiUse's growing collection of math calculator, matrix, linear algebra. Like every tool on LaiUse, it runs entirely in your browser — meaning your data, files, and inputs stay on your device throughout the entire process.

LaiUse offers Math Tools tools alongside matrix transpose, matrix inverse. The entire platform is free to use with no signup required, making it a popular choice for developers, designers, and everyday users who need a quick tool without the overhead of a SaaS subscription.

Whether you need the matrix determinant for a one-off task or as part of your regular workflow, LaiUse is designed to be fast, reliable, and private. Bookmark this page to come back anytime, or explore the rest of the Math Tools category for related tools.

Frequently asked questions

Is this tool free to use? +

Yes. LaiUse is free to use without an account. Most tools have no limits and run entirely in your browser. AI and server-side tools require a Pro subscription.

Do I need to create an account? +

No. All free tools work without an account. You can sign up to earn rewards, request new tools, and access Pro features.

Is my data private? +

Yes. Browser-based tools process everything locally on your device — your files and data never leave your computer. Server-side tools are clearly marked.

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