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2×2 Matrix Multiplication Calculator

Product C = A · B for two 2×2 matrices.

Compute the product of two 2×2 matrices A · B element-by-element, returning the four entries of the result matrix.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

C₁₁ = A₁₁B₁₁ + A₁₂B₂₁; C₁₂ = A₁₁B₁₂ + A₁₂B₂₂; C₂₁ = A₂₁B₁₁ + A₂₂B₂₁; C₂₂ = A₂₁B₁₂ + A₂₂B₂₂.

In depth

Compute the product of two 2×2 matrices A · B element-by-element, returning the four entries of the result matrix.