(adsbygoogle = window.adsbygoogle || []).push({}); concept of a "basis" for a vector space

I do not understand the concept of a "basis" for a vector space.

Here's an example from my practice final exam:

Suppose U and V are subspaces of the real vector space W and {u1} is a basis for U and {v1} is a basis for V. If U intersection V = {0} show that {u1, v1} is a linearly independent set it W.

I probably need additional help with this example, but if someone could explain a "basis" to me in terms of this example I would greatly appreciate it.

Thanks.

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Concept of a basis for a vector space

Loading...

Similar Threads - Concept basis vector | Date |
---|---|

I Diagonalization and change of basis | Jan 16, 2018 |

A Isomorphism concepts,( example periods elliptic functions ) | Feb 4, 2017 |

I Congruence Subgroups and Modular Forms Concept Questions | Dec 27, 2016 |

I Does this concept have a name? (looping/overlapping time) | Apr 30, 2016 |

On formal concept analysis (fca) | Jul 23, 2015 |

**Physics Forums - The Fusion of Science and Community**