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If we let x an
vector and let A be defined in
a similar fashion to A in Example D.3, only now
we require A to be an
matrix, then

(D.4.1) 
and if A is symmetric, that is
, then
.
Once again, to understand how these results are derived we will simply
multiply out the matrices and then apply the definition of vector
differentiation (Equation 3.12.1). Thus,
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Frank Starmer
20040519