| Line 2: | Line 2: | ||
'''Basis''' | '''Basis''' | ||
| − | The vectors v1,v2,...,vk in a vector space V are said to form a '''basis''' for V if (a) v1,v2,...,vk span V and (b) v1,v2,...,vk are linearly independent. | + | \The vectors v1,v2,...,vk in a vector space V are said to form a '''basis''' for V if (a) v1,v2,...,vk span V and (b) v1,v2,...,vk are linearly independent. |
Revision as of 01:21, 10 December 2011
Basis
\The vectors v1,v2,...,vk in a vector space V are said to form a basis for V if (a) v1,v2,...,vk span V and (b) v1,v2,...,vk are linearly independent.
