Vector space example 2 Guide, Meaning , Facts, Information and Description

Example II: Let M be the set of all (m×n) matrices, with complex numbers as entries. Let C be the field of complex numbers. Then if

• where p_ij is in C.

Define vector addition in M:

Define scalar multiplication:

Then M is a vector space over C and we denote this as C^m×n.

So Example I would be denoted R^1×n, or more simply, Rⁿ.

In analysis, many function sets have the structure of a vector space. In analysis, a vector space is called a linear space.

See also: Vector space

This is an Article on Vector space example 2. Page Contains Information, Facts Details or Explanation Guide About Vector space example 2

	Web www.E-paranoids.com