CALCULATE WITH CONFIDENCE

Linear Algebra & Matrices

Matrix Calculator

Add, subtract, multiply, or compare the entrywise product of two matrices.

Linear Algebra & Matrices

Enter matrix values

Exact rational arithmetic
Matrix A
Matrix B

Use ordinary signed decimals. Fractions, commas, and scientific notation are not accepted in this first batch.

Exact result

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Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

Quick guide

How to use this calculator

  1. Choose an operation.
  2. Set the dimensions of matrices A and B.
  3. Fill every entry and read the exact result matrix.

Calculation method

Use the rule selected for A and B

Addition, subtraction, and the Hadamard product combine matching entries. Matrix multiplication instead takes dot products of rows of A with columns of B, so order and dimensions matter.

Worked example

Add two 2 × 2 matrices

For A = [[1,2],[3,4]] and B = [[5,6],[7,8]], add corresponding entries.

A + B = [[6,8],[10,12]]

Supported inputs

Precision and limits

Matrix size

Each input matrix may contain 1–6 rows and 1–6 columns.

Entry precision

Each signed decimal may contain up to 30 digits and 15 decimal places.

Exactness

Finite decimals are converted to reduced fractions before calculation; matrix arithmetic is not rounded.