CALCULATE WITH CONFIDENCE

Linear Algebra & Matrices

Hadamard Product Calculator

Multiply equally sized matrices entry by entry.

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.

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Quick guide

How to use this calculator

  1. Give A and B matching dimensions.
  2. Enter all values.
  3. Read the exact entrywise product A ⊙ B.

Calculation method

Multiply corresponding entries

Unlike ordinary matrix multiplication, the Hadamard product keeps the original dimensions and multiplies aᵢⱼ by bᵢⱼ.

Worked example

Entrywise product

Multiply corresponding entries of [[1,2],[3,4]] and [[5,6],[7,8]].

A ⊙ B = [[5,12],[21,32]]

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.