so in my book there is an example basically saying that linear transformations can be applied to basis vectors or, more specifically, i think they're using orthonormal basis vectors |e(adsbygoogle = window.adsbygoogle || []).push({}); _{1}>,|e_{2}>, ...

i'm just a little confused onhowthey're applying it to the basis vectors.

my book:

http://i.imgur.com/BFNMuz0.jpg

[itex]\hat{T}[/itex]|e_{1}> ; okay so here on the LHS we're applying the transformation to the first orthonormal basis vector. the first term on the RHS, is this basically saying how much we're extending or contracting along the |e_{1}> direction?

**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!

# Quick question in linear algebra review for quantum mechanics

Loading...

Similar Threads - Quick question linear | Date |
---|---|

I Modular form quick question translation algebra | Dec 22, 2016 |

I Quick question about Lagrange's theorem | Sep 22, 2016 |

Quick Question: SO(n) vs SO(n,1) ? | Dec 5, 2014 |

Quick question about subgroups of "odd" dihedral groups | Dec 3, 2014 |

Quick question about Linear Transformations from a space to itself | Aug 6, 2012 |

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