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=='''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 02:33, 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.
