Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Determinants between two similar matrices

  1. Nov 13, 2013 #1
    Lets suppose a 4×4 matrix A has two identical rows with some other 4×4 matrix B. Does that imply there determinant is equal? Or does it really say nothing about how the determinants of the two matrices are related.
     
  2. jcsd
  3. Nov 14, 2013 #2

    mathman

    User Avatar
    Science Advisor
    Gold Member

    As long as the other rows may be different, the determinants may be different.
     
  4. Nov 14, 2013 #3

    SteamKing

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    Why should two identical rows imply equality of determinants? The value of the determinant involves ALL of the elements of a matrix.
     
  5. Nov 14, 2013 #4
    I mistakingly asked this question prematurely--not releasing that I could of easily performed row operations to enable the determinants of the two matrices to be the same.
     
  6. Nov 15, 2013 #5

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    So would you mind now telling us what the question really is?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Determinants between two similar matrices
  1. Similarity Matrices (Replies: 2)

Loading...