Is one way of looking of the determinant is its the area of the parallelogram formed by the vectors in 2 dimensions, the volume of the parallelpided in 3 dimensions etc. The sign of the determinant tells you something about the relative position of the vectors. This would make the diagonalisation process the transform that turns the parallelogram into a square, and the parallelpiped into a cube.(adsbygoogle = window.adsbygoogle || []).push({});

**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!

# Determinant = volume using rows.

Loading...

Similar Threads for Determinant volume using | Date |
---|---|

B Why the hate on determinants? | Jun 9, 2017 |

I Proving a result about invertibility without determinants | Feb 27, 2017 |

I Using determinant to find constraints on equation | Jan 15, 2017 |

3 x 3 determinant gives the volume of a parallelopiped | Oct 17, 2013 |

Jacobian determinant and volume change | Aug 3, 2010 |

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