Any number of operands or expressions can be used with the vectorize operator.
Example:
To perform an element-wise matrix multiplication of A and
B, two matrices of the same size, you type A*B,
select the entire expression, then type [Ctrl]− to vectorize the multiplication
operation.
The vectorized product returns an array of the same size as A and B in which
each element contains the product of the paired elements of A and B. The non-vectorized
product performs a standard matrix multiplication.
Notes:
Many functions and operators automatically vectorize their operations when
the arguments are arrays. The vectorize operator is used primarily when a
function or operator has a special meaning for arrays that you wish
to override. In the example above, multiplication
has a special meaning for arrays and that meaning is used by default. The
vectorize operator is used to force an element-by-element multiplication.
If you enclose a function that requires an array for an argument, such as
an FFT, and you attempt to calculate
the expression element-by-element, you get an error.
If you use the vectorize operator over a scalar, it does nothing, so it
can be used for cosmetic display purposes.
Since operations between two arrays are performed element by element, all
arrays under a vectorize operator must be the same size. Operations between
an array and a scalar are performed by applying the scalar to each element
of the array.
Vectorize only descends one level down in an array. It treats each nested
array in a vectorized expression as a regular array, since these are the
elements of the top-level array.
