Hadamard Product (Element-wise) Calculator
Compute the Hadamard product (element-wise product) of two same-size matrices. Enter each row and get the result matrix as a table.
Input
Enter two matrices, one row per line. Separate entries with spaces or commas (each line = one matrix row).
Result
Result matrix size
2 × 3
Rows
2
Columns
3
Entries
6
Hadamard product A ⊙ B
| 2 | 0 | 3 |
| 4 | 15 | 12 |
How it works
- The Hadamard product (symbol ⊙), also called the element-wise or Schur product, takes two matrices A and B of the same size and multiplies entries in matching positions. Its (i, j) entry is A(i, j) times B(i, j).
- The Hadamard product is defined only when both matrices have exactly the same dimensions (same number of rows and columns). Matrices of different sizes cannot be combined this way.
- It is different from the standard matrix product (A×B). The matrix product is defined when the number of columns of A equals the number of rows of B and forms entries from dot products, so its size and entries differ from the Hadamard product.
- Each input line is treated as one row of the matrix, with entries separated by spaces or commas. Blank lines are ignored.
- The Hadamard product is commutative (A⊙B = B⊙A). Because it is a simple position-by-position multiplication, it is widely used for masking in image processing and element-wise operations in machine learning.
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Hadamard Product (Element-wise) Calculator