Matrix Multiplication Calculator

Multiply two matrices with step-by-step explanation. Supports up to 5x5 matrices.

isCalculator Editorial Team Published by:
Reviewed by: Review Board
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How to use this tool?

This calculator multiplies two matrices. Follow these steps:

  1. Set dimensions – Adjust the rows and columns for Matrix A and Matrix B using the number inputs.
  2. Enter values – Fill in the matrix cells. Default values are 1 on the diagonal and 0 elsewhere.
  3. Check compatibility – The number of columns in Matrix A must equal the number of rows in Matrix B. An error will appear if not.
  4. Calculate – Click the Calculate button.
  5. View results – The product matrix (C = A × B) appears below, along with step-by-step calculations showing each element’s sum of products.

All inputs accept any real numbers (including decimals). Matrix dimensions are limited to 1–5.

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Frequently Asked Questions

The number of columns in the first matrix must equal the number of rows in the second matrix.

If matrix A is m×n and matrix B is n×p, the result matrix C is m×p.

Yes, as long as the inner dimensions match (columns of first = rows of second).

Reviewed by Experts

Eurico José Kiala

Eurico José Kiala

Mathematician

Teacher

LinkedIn
João Lino

João Lino

Mathematician

LinkedIn
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