Suppose I have a basis for a subspace(adsbygoogle = window.adsbygoogle || []).push({}); Vin [tex]\mathbb{R}^{4}[/tex]:

[tex]\mathbf{v_{1}}=[1, 3, 5, 7]^{T}[/tex]

[tex]\mathbf{v_{2}}=[2, 4, 6, 8]^{T}[/tex]

[tex]\mathbf{v_{3}}=[3, 3, 4, 4]^{T}[/tex]

Vhas dimension 3, but is in [tex]\mathbb{R}^{4}[/tex]. How would one switch basis for this subspace, when you can't use an invertible transition matrix?

Thanks!

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

Dismiss Notice

Join Physics Forums Today!

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

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

# Change of basis in R^n and dimension is <n

Loading...

Similar Threads - Change basis dimension | Date |
---|---|

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

I Change of Basis and Unitary Transformations | Feb 17, 2017 |

I Change of basis question | Sep 6, 2016 |

I Vector components, scalars & coordinate independence | Jul 26, 2016 |

A question concerning Jacobians | Nov 6, 2015 |

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