Math

Instant, private, and free

Hadamard Product Calculator.

Multiply two 2×2 matrices element by element.

On-device calculationNo signup
01

Set your values

Results update as you type.

Result: c11: 5.000000 · c12: 12.000000 · c21: 21.000000 · c22: 32.000000

Result

c11: 5.000000 · c12: 12.000000 · c21: 21.000000 · c22: 32.000000

Use Cases

Quick element-wise multiplication

Use this calculator to quickly find the Hadamard product of two 2x2 matrices without manual computation, useful for checking homework or small data transformations.

Example: A = [[1,2],[3,4]], B = [[5,6],[7,8]] → result = [[5,12],[21,32]]

Educational demonstration

Teachers and students can use this tool to illustrate how element-wise multiplication works, reinforcing the concept of matrix operations.

Example: Enter simple matrices to see the step-by-step result.

Frequently Asked Questions

What is the Hadamard product of two matrices?
The Hadamard product (also called element-wise product) multiplies corresponding entries of two matrices of the same size. For 2x2 matrices, each entry in the result is the product of the entries in the same position from A and B.
How do I use this calculator?
Enter the values for matrix A (A11, A12, A21, A22) and matrix B (B11, B12, B21, B22). The calculator will multiply each corresponding pair (e.g., A11*B11) and display the resulting 2x2 matrix.
Can I use this for matrices larger than 2x2?
No, this calculator is specifically designed for 2x2 matrices only. For larger matrices, you would need a different tool that supports the required dimensions.

Tips & Common Mistakes

Tips

  • Ensure both matrices are 2x2; the calculator only accepts exactly eight values.
  • Double-check your entries for negative numbers and decimals – they are allowed.
  • Use the result to verify manual calculations or to explore patterns in element-wise multiplication.

Common Mistakes to Avoid

  • Confusing Hadamard product with standard matrix multiplication – this calculator only does element-wise, not row-by-column.
  • Entering values in the wrong order – make sure A11 corresponds to the top-left of matrix A, and B11 to top-left of B.
  • Forgetting that the result matrix has the same dimensions as the inputs – each output cell is the product of the corresponding input cells.

Last updated: August 13, 2026