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4x4 determinants

  1. Jun 12, 2014 #1
    What are the applications of a 4x4 determinant and what can it represent? To make it more clear, a 3x3 determinant represents vector perpendicular to two vectors and a 3x3 determinant can also be used to calculate torque. So, what can a 4x4 determinant do? Also, if there is a nxn determinant that also does something, I'd be interested in knowing what that represents too.
     
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  3. Jun 12, 2014 #2

    jedishrfu

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    Last edited by a moderator: May 6, 2017
  4. Jun 12, 2014 #3

    AlephZero

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    Find out about eigenvalues and eigenvectors, and how they relate to determinants.
     
  5. Jun 12, 2014 #4

    UltrafastPED

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    Determinants are invariant under similarity transformations - often appearing as changes in coordinate systems - and have other useful properties related to matrix multiplication and inversion.

    In a sense the determinant calculates a volume related to the region bounded by the column (or row) vectors. This works in all dimensions.
     
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