Manuals/calci/HADAMARDPRODUCT

HADAMARDPRODUCT (a,b)

• $a$ and $b$ are any two matrices.

Description

• This function shows the value of the Hadamard product.
• In $HADAMARDPRODUCT(a,b)$,$a$ and $b$ are two matrices.
• Hadamard product is also called Schur product or entrywise product.
• 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, $A\circ B</math,isamatrix,ofthesamedimensionastheoperands,withelementsgivenby:<math>(A\circ B)_{i,j}=(A)_{i,j}(B)_{i,j}$
• Hadamard Product of order 2 is calculated by:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{pmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{pmatrix}} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \circ} Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{pmatrix} b_{11} & b_{12} \\ b_{21} & b_{22} \end{pmatrix}} = ${\begin{pmatrix}a_{11}b_{11}&a_{12}b_{12}\\a_{21}b_{21}&a_{22}b_{22}\end{pmatrix}}$