6.3.27  Products

The product command can find the products of elements of an expression (see Section 6.3.27), the elements of a list (see Section 6.3.27), the elements of the columns of a matrix (see Section 14.3.6), and the term-by-term (Hadamard) product of two matrices (see Section 14.3.8).

Product of values of an expression.

The product or mul command can find the product of the values of an expression as the variable changes.

• product takes four mandatory arguments and one optional argument:
  • expr, an expression.
  • x, the name of a variable.
  • a and b, real numbers.
  • Optionally p, a real number representing a step size. (By default p=1).
• product(exprx,a,b⟨ p ⟩) returns the product of the values of expr as x goes from a to b in steps of p.

  This syntax is for compatibility with Maple.

Examples

or:

Indeed, (1²+1)(2²+1)(3²+1)(4²+1)=1700.

or:

Indeed, (1²+1)(3²+1)(5²+1)=520.

Product of elements of a list.

The product or mul command can find the products of elements of a list.

• product takes one mandatory and one optional argument:
  • L, a list of numbers.
  • Optionally, L₂, another list of numbers the same length as L.
• product(L) returns the product of the elements of L.
• product(L,L₂) returns the term by term product of the elements of L and L₂.

(See also Section 14.3.8.)

Examples

or:

or: