## PROD Product Function

Section: Elementary Functions

### Usage

Computes the product of an array along a given dimension. The general syntax for its use isy = prod(x,d)

where `x`

is an `n`

-dimensions array of numerical type.
The output is of the same numerical type as the input, except
for integer types, which are automatically promoted to `int32`

.
The argument `d`

is optional, and denotes the dimension along
which to take the product. The output is computed via

If `d`

is omitted, then the product is taken along the
first non-singleton dimension of `x`

. Note that by definition
(starting with FreeMat 2.1) `prod([]) = 1`

.

### Example

The following piece of code demonstrates various uses of the product function--> A = [5,1,3;3,2,1;0,3,1] A = 5 1 3 3 2 1 0 3 1

We start by calling `prod`

without a dimension argument, in which case it defaults to the first nonsingular dimension (in this case, along the columns or `d = 1`

).

--> prod(A) ans = 0 6 3

Next, we take the product along the rows.

--> prod(A,2) ans = 15 6 0