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Free Matrix Calculator

Runs entirely in your browser - no upload, no sign-up.

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ResultMultiply A × B2 × 2
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matrix calculator / browser utility
01 / Overview

What does a matrix calculator do?

A matrix calculator performs linear algebra operations on arrays of numbers. Enter matrices to add, subtract, or multiply them, or use one matrix to find its transpose, determinant, inverse, or reduced row echelon form. Results update in your browser, with dimension checks that explain incompatible or singular inputs.

02

How to use

  1. 01
    Choose an operation

    Select addition, subtraction, multiplication, transpose, determinant, inverse, or RREF.

  2. 02
    Enter each matrix

    Put one row on each line and separate values with spaces or commas. Scientific notation is supported.

  3. 03
    Check the result

    The calculator validates the dimensions and updates the result as you type.

  4. 04
    Copy the matrix

    Copy the tab-separated result into a spreadsheet, notes app, or homework document.

03

Who it's for

  • Check matrix arithmetic and row-reduction exercises for a linear algebra class.
  • Multiply transformation matrices used in graphics, robotics, or coordinate geometry.
  • Test whether a square matrix is invertible before solving a system.
  • Prepare tab-separated matrix results for a spreadsheet or technical note.

This calculator supports rectangular matrices up to 10 by 10. Addition and subtraction need matching dimensions. For A × B, the column count of A must equal the row count of B. Determinants and inverses require square matrices, while transpose and RREF also work on rectangular inputs.

Calculations use standard browser floating-point arithmetic, and displayed results are rounded to 10 significant digits. This is a numerical calculator rather than a symbolic algebra system. Your matrix entries stay on your device.

FAQ

Are my matrices uploaded?

No. The parser and all matrix operations run in your browser. Your entries are not sent to a calculation service, stored on a server, or attached to an account.

Is this matrix calculator free?

Yes. You can calculate as many matrices as you need without payment, sign-up, or a download. The result appears as soon as the required inputs are valid.

What matrix sizes are supported?

Each matrix can contain up to 10 rows and 10 columns. Rectangular matrices work for transpose and RREF, and they work for multiplication when the inner dimensions match. Determinants and inverses require square matrices.

How do I multiply two matrices?

Choose Multiply A × B. Matrix A must have the same number of columns as Matrix B has rows. Each result entry is the dot product of one row from A and one column from B, so the order matters.

Why does a matrix have no inverse?

A square matrix has an inverse only when it is non-singular, which means its determinant is not zero. The calculator detects a missing usable pivot during Gauss-Jordan elimination and reports the matrix as singular instead of dividing by zero.

What is reduced row echelon form?

Reduced row echelon form, or RREF, is a standardized matrix form made with row operations. Every leading entry is 1, each pivot is the only nonzero entry in its column, and pivot positions move right as you go down.

Can I enter decimals and negative numbers?

Yes. Entries may be integers, negative values, decimals, or scientific notation such as 1e-5. Separate values with spaces or commas, and start each matrix row on a new line.