MATLAB SYMBOLIC MATH TOOLBOX 5 - MUPAD Manuel d'utilisateur Page 18

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These commands create row and column vectors; a matrix’ multiply a matrix by a vector (to produce a
column vector); multiply a column vector by a row vector to produce a scalar, and do a dot product of two
vectors (the scalar product) in two different ways. Note that by default Mupad assumes that all variables
could be complex numbers hence the complex conjugates unless you specify ‘Real’ in the
ScalarProduct function.
Mupad can do fancy things like cross products and vector calculus (curl, divergence, etc). It can even
find the scalar potential corresponding to a curl free vector field (useful for calculating the potential
energy of a force, for example). It can find a vector potential for a divergence free vector field too (not
so useful for us here…)
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