Matrix Calculator

Add or multiply two 2 × 2 matrices.

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What is this calculator?

Add or multiply two 2 × 2 matrices.

What can you use it for?

Use it when solving an exercise, checking a result, or working with the particular quantities shown in this form. Add or multiply two 2 × 2 matrices.

How to use it

  1. Enter matrix a (four comma-separated values).
  2. Enter matrix b (four comma-separated values).
  3. Enter operation.
  4. Select Calculate (or Generate for random tools).
  5. Read the answer and any additional results below the form. Check the units and the limits of the method.

Formula and method

Product entry C(i,j) = Σ A(i,k) × B(k,j)

Inputs are two 2×2 matrices. Values are entered row by row.

Worked example

Matrix A (four comma-separated values): 1,2,3,4, Matrix B (four comma-separated values): 5,6,7,8, Operation: Addition. The result is 6 , 8 10 , 12 (result matrix).

Assumptions and limits

2 × 2 matrices only, entered row by row.

Frequently asked questions

What inputs does the Matrix Calculator need?

Use matrix a (four comma-separated values), matrix b (four comma-separated values), operation. Read the answer and any additional results below the form. Check the units and the limits of the method.

What assumptions apply to the Matrix Calculator?

2 × 2 matrices only, entered row by row.

A little help with the numbers

Smart input · AI explanations when connected