Matrix Multiplication Visualizer

A 2×2 × B 2×2 = Result 2×2
Matrix A — Rows
2
Matrix A — Columns
2
Sets rows of B automatically
Matrix B — Columns
2
Matrix A
×
Matrix B
=
Result
Compatible — A's columns (2) automatically match B's rows (2).
Click "Visualize Multiplication" to see each result cell explained step by step.

How Matrix Multiplication Works

  1. Take one row from Matrix A.
  2. Take one column from Matrix B.
  3. Multiply each pair of corresponding numbers.
  4. Add up all the products.
  5. Place the sum into the matching position of the result matrix.
  6. Repeat for every row of A against every column of B.
🧠 Why it matters for neural networks: during a forward pass, inputs and activations are repeatedly multiplied by weight matrices — the exact row-by-column operation visualized above, just repeated at a much larger scale.
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