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Matrix Multiplication Calculator

Multiply two 2 × 2 matrices. Exactly four finite entries per matrix in row order.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate result.

Separate values with commas, spaces or new lines. At most 1,000 finite numbers, each with magnitude no greater than 1 billion.

Separate values with commas, spaces or new lines. At most 1,000 finite numbers, each with magnitude no greater than 1 billion.

Your result
Enter your details

Result will appear here

How Matrix Multiplication Calculator works

Multiply two 2 × 2 matrices.

Exactly four finite entries per matrix in row order. This bounded tool does not accept arbitrary matrix dimensions. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

Concept diagram for Matrix Multiplication Calculator, showing first 2 × 2 matrix, row order input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Matrix Multiplication Calculator

Follow the labelled inputs.

Enter first 2 × 2 matrix, row order

Replace the example with first 2 × 2 matrix, row order. The field labels specify the expected format and units.

Calculate result
Input and settings
Matrix Multiplication Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set second 2 × 2 matrix, row order. Exactly four finite entries per matrix in row order.

Calculate result
Tool result
Matrix Multiplication Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate result. Review the calculated result, then copy it or download the result text.

Calculate result
Review the details
Matrix Multiplication Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Matrix Multiplication Calculator

Check the supplied example

The starting example produces 19 22; 43 50. Multiply two 2 × 2 matrices.

Calculate result
Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for first 2 × 2 matrix, row order and second 2 × 2 matrix, row order. Exactly four finite entries per matrix in row order.

Calculate result
Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

Calculate result
A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Multiply two 2 × 2 matrices.

Exactly four finite entries per matrix in row order. This bounded tool does not accept arbitrary matrix dimensions. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

Calculate resultCalculate result
A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

Exactly four finite entries per matrix in row order. This bounded tool does not accept arbitrary matrix dimensions. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

The input stays in this browser. Copy result and Download save the same displayed text.

Calculate resultCalculate result
Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

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Matrix Multiplication Calculator: common questions

Answers about using Matrix Multiplication Calculator and understanding its results.

Which inputs does this tool accept?

Exactly four finite entries per matrix in row order. This bounded tool does not accept arbitrary matrix dimensions. Finite real numbers only. Display uses up to 12 significant digits; binary floating-point arithmetic can introduce rounding.

Can I copy or download the result?

Yes. Copy result copies the displayed text, and Download saves the same result as a text file. Calculations run in your browser without an account.

Calculate result with your input

Check the calculated result, then copy or download it.

Calculate result