Could someone help me here please?(adsbygoogle = window.adsbygoogle || []).push({});

Let V and W be two vector spaces and T: V -> W be a linear map. Define

T(inv) (0) = { u element of V l T(u) = 0 }

where 0 is the zero element in W. Also define,

T(V) = { T(u) l u element of V},

the image of V under T. Show that T(inv) (0) is a subspace of V and T(V) is a subspace of W.

Your help is much appreciated!

**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!

# Help! linear algebra Q

Loading...

Similar Threads - Help linear algebra | Date |
---|---|

B Help understanding a proof | Jun 8, 2017 |

I need help understanding pivots | Sep 15, 2015 |

Beginner: need help understanding an answer | Sep 2, 2015 |

Linear and Abstract Algebra: What Is It? | Dec 6, 2014 |

Need help with some linear algebra questions! | Nov 2, 2014 |

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