I have come across a theorem which says that det(A)=0 if and only if the row (or column) vectors of A are linearly dependent.(adsbygoogle = window.adsbygoogle || []).push({});

I can understand the proof for it, but fails to figure out what's the essential meaning of this theorem. Can someone provide me a simple intuitutive understanding of this theorem? By intitutive understanding, I mean something that one can assure himself of some result without doing much derivation.

Thanks in advance!

**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!

# How to understand it inituitively?

Loading...

Similar Threads - understand inituitively | Date |
---|---|

I Understanding Hilbert Vector Spaces | Mar 2, 2018 |

B Help understanding a proof | Jun 8, 2017 |

I Problem understanding the SPAN | May 1, 2017 |

I Trying to understand least squares estimates | Feb 25, 2017 |

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