CALCULATE WITH CONFIDENCE

Linear Algebra & Matrices

Matrix by Scalar Calculator

Multiply or divide every matrix entry by one exact scalar.

Linear Algebra & Matrices

Enter matrix values

Exact rational arithmetic
Matrix A

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. Choose multiplication or division.
  2. Enter matrix A and the scalar.
  3. Read the exact scaled matrix.

Calculation method

Apply the scalar to each entry

Scalar multiplication multiplies every aᵢⱼ by the same value. Scalar division divides every entry and is undefined when the scalar is zero.

Worked example

Double a matrix

Multiply every entry of [[1,−2],[3,4]] by 2.

2A = [[2,−4],[6,8]]

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.