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Utilnivo

Matrix Calculator

Edit matrices, run linear algebra operations, and solve systems on your device.

  • 100% Free
  • No signup
  • Private & secure
  • Instant results
  • On your device

Private on your device

Your information stays on your device and is not uploaded.

Related tools

Enter matrices as rows, then add, subtract, multiply, transpose, invert, compute determinants, reduce to RREF, or solve linear systems. Dimension mismatches and singular matrices produce clear, user-friendly errors.

Utilnivo’s Matrix Calculator provides a spreadsheet-style editor for named matrices and common linear algebra operations. Addition, subtraction, multiplication, transpose, determinant, inverse, rank-related RREF, identity construction, and linear solves are available in the browser.

Dimension validation explains incompatible operations instead of failing silently. Singular matrices produce a clear singular-matrix error when inversion or unique solves are impossible.

Vector helpers compute magnitude and normalization for quick checks alongside matrix work. Keep systems small—dimensions are capped for performance and reliability on everyday devices.

All matrix data stays local. Export results as text or CSV summaries when you need to paste into notes, and combine this tool with the Equation Solver when you prefer expression-based root finding.

How to use this tool

Type each matrix row on its own line. Separate entries with spaces or commas. Select an operation and review the result panel. Use Solve system with constants b1 b2 … bn for Ax = b.

Worked example

For A = [[1,2],[3,4]] and B = [[5,6],[7,8]], A×B equals [[19,22],[43,50]]. For Ax=b with A=[[1,1],[0,1]] and b=[5,2], the solution is x1=3, x2=2.

When to use this

  • Checking homework matrix multiplication and determinants.
  • Solving small linear systems without a CAS.
  • Exploring transpose, inverse, and row reduction steps locally.

Common examples

  • matrix multiply
  • determinant 2x2
  • inverse matrix
  • solve Ax=b
  • RREF

Common mistakes

  • Multiplying matrices with incompatible inner dimensions.
  • Expecting an inverse for a singular matrix.
  • Mixing rows of different lengths when pasting data.

How it works

Enter Matrix A and optional Matrix B as rows of numbers. Choose an operation such as multiply, transpose, determinant, inverse, or RREF. Linear systems can be solved when A is square and compatible with the constant vector.

Limitations

Results are based on the inputs you provide and may not cover every edge case. This tool is for general use and is not professional advice.

Privacy and file handling

Your data stays on your device and is not uploaded.

Formula or method

Matrix multiplication follows the standard row-by-column rule. Determinants and inverses use elimination-based numeric methods with singularity checks. RREF uses Gauss–Jordan elimination with pivoting.

FAQ

Frequently asked questions

What matrix size is supported?

Matrices are capped for reliability on everyday devices. Incompatible dimensions are rejected with a clear message.

Can I invert a matrix?

Yes when the matrix is square and non-singular. Singular matrices return a controlled error.

Does solving Ax=b upload my data?

No. All matrix operations run locally in your browser.

Related pages

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