CALCULATE WITH CONFIDENCE

Linear Algebra & Matrices

Kronecker (Tensor) Product Calculator

Construct the exact block matrix produced by the Kronecker product.

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. Enter matrices A and B.
  2. The matrices may have different dimensions.
  3. Read the block matrix A ⊗ B.

Calculation method

Replace each entry of A with a scaled copy of B

Each aᵢⱼ becomes the block aᵢⱼB. An m × n matrix and a p × q matrix produce an mp × nq result.

Worked example

Kronecker product with a row

Use A = [[1,2]] and B = [[3,4],[5,6]].

A ⊗ B = [[3,4,6,8],[5,6,10,12]]

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.