Matrix Multiplication Calculator (2x2)
Multiply two 2×2 matrices, row by column, with the determinant identity as a check.
Order matters
Matrix multiplication is not commutative: AB and BA are usually different matrices, and for non-square matrices only one of the two may even be defined. What does always hold is det(AB) = det(A)·det(B), which is the quickest way to check a product by hand.
The formula
C₁₁ = A₁₁B₁₁ + A₁₂B₂₁, and so on for each entry
Every result on this page comes from this formula. Nothing is rounded until the final display, so figures match a spreadsheet to the cent.
How to use the Matrix Multiplication Calculator (2x2)
- Fill in each field with your own figures — the defaults are only there as an example.
- The result updates as you type, so there is no button to press.
- Check the breakdown under the main result for the supporting numbers.
- Use the copy button to take the result with you, or share the link to reload the same inputs.
Matrix Multiplication Calculator (2x2) — frequently asked questions
Is this matrix multiplication calculator (2x2) free to use?
Yes. Every calculator on the site is free, needs no sign-up, and runs entirely in your browser, so your figures never leave your device.
How accurate is the result?
The maths is exact for the formula shown on the page. Accuracy in the real world depends on your inputs and on assumptions the formula cannot see, so treat the output as a well-grounded estimate rather than a quote.
Can I use it on my phone?
Yes. The page is responsive, weighs a few kilobytes and works offline once loaded, so it behaves the same on a phone as on a desktop.
What people search for
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About this calculator
Written and reviewed by The Samsung Calculator editorial team. Every calculator is written against a published formula, reviewed against at least one independent reference implementation, and dated when it changes.
Last reviewed August 23, 2026 · Calculation runs client-side · No data collected · Report an error