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*Hadamard product is also called Schur product or entrywise product.
*Hadamard product is also called Schur product or entrywise product.
*The Hadamard product is associative,commutative and distributive.
*The Hadamard product is associative,commutative and distributive.
*Hadamard product is defined by,For two matrices, A and B, of the same dimension, mxn, the Hadamard product, <math> A\circ B</math>, is a matrix, of the same dimension as the operands, with elements given by:
*Hadamard product is defined by,For two matrices, A and B of the same dimension mxn, the Hadamard product <math> A\circ B</math>, is a matrix, of the same dimension as the operands, with elements given by:
<math>(A \circ B)_{i,j}=(A)_{i,j}(B)_{i,j} </math>
<math>(A \circ B)_{i,j}=(A)_{i,j}(B)_{i,j} </math>
*Hadamard Product of order 2 is calculated by:
*Hadamard Product of order 2 is calculated by:
==Examples==
==Examples==
1. HADAMARDPRODUCT([[2,3],[10,14]],[[6,4],[8,3]])
{| class="wikitable"
|-
| 12 || 12
|-
| 80 || 42
|}
2. HADAMARDPRODUCT([[6,3,10],[5,-7,12],[4,2,6]],[[4,5,6],[9,2,-5],[12,13,7]])
{| class="wikitable"
|-
| 24 || 15 || 60
|-
| 45 || -14 || -60
|-
|48 || 26 || 42
|}
==See Also==
*[[Manuals/calci/HADAMARD| HADAMARD]]
*[[Manuals/calci/hadamard| hadamard]]
*[[Manuals/calci/HANKEL| HANKEL]]
==References==
*[http://en.wikipedia.org/wiki/Hadamard_matrix Hadamard matrix]
*[[Z_API_Functions | List of Main Z Functions]]
*[[ Z3 | Z3 home ]]