Multiplication of Matrix 3×3 Calculator

Multiply two 3×3 matrices with instant arithmetic checks and highlights for clarity. Enter values manually or load examples to explore realistic scenarios in seconds. See computed entries with sums, products, and dimension compatibility warnings shown inline. Export matrices and results as CSV for downstream workflows effortlessly. Create polished PDFs and share with teams quickly.

Enter Matrices
Matrix A (3×3)
Matrix B (3×3)
Product C = A × B
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
0.000000
Tip: Use commas or dots for decimals. Scientific notation supported.
Formula Used

For square matrices of order 3, the entry of the product C = A×B at row i and column j is:

Cij = Ai1·B1j + Ai2·B2j + Ai3·B3j

Equivalently, the dot product of row i of A with column j of B.

How to Use
  1. Enter numbers into the 3×3 grids for matrices A and B.
  2. Click Calculate to compute the product C = A × B.
  3. Review expanded terms in the Formula Used card, if needed.
  4. Use Download CSV to export A, B, and C together.
  5. Use Download PDF to save a formatted calculation report.
  6. Click Load Example to try a realistic preset dataset.
Example Data Table

Preset example used by the Load Example button. Precomputed product shown for reference.

Example A
123
014
560
Example B
-210
300
451
Example C = A×B
16163
19204
850
FAQs

Yes. Generally, A×B ≠ B×A. Even if both are 3×3, the products can differ.

This tool targets 3×3 by 3×3. For m×n by n×p, use a general matrix calculator.

Integers, decimals, negative numbers, and scientific notation like 1e-3 are supported.

Results display up to 6 decimal places. You can change formatting in the code easily.

No. Internally values are multiplied as floats; rounding is only for display and exports.

Yes. You can paste numeric cells into inputs. Use the CSV export to copy results back.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.