1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Determinant n

  1. Oct 29, 2011 #1
    1. The problem statement, all variables and given/known data
    I have to find a determinant for
    1 2 3 ... n
    -1 0 3 ... n
    -1 -2 0 ... n
    ................
    -1 -2 -3 ... 0
    but I have very little clue how to proceed, because the mathematics material that I was given is very vague about this. Any help would be greatly appreciated.


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 29, 2011 #2
    Does -1 -2 -3 ... 0 represent the final row of the matrix meaning the the lowest right member is 0?
     
  4. Oct 29, 2011 #3

    I like Serena

    User Avatar
    Homework Helper

    Welcome to PF, Helloes! :smile:

    The main rule about calculating determinants, is that you can add a multiple of a row to another row, without changing the determinant.
    Same thing for columns: you can add (or subtract) a multiple of one column to another column.

    Now let's try a couple of determinants.

    What is |1|?

    What is [itex]\begin{vmatrix}1&2\\-1&0\end{vmatrix}[/itex]?

    What is [itex]\begin{vmatrix}1&2&3\\-1&0&3\\-1&-2&0\end{vmatrix}[/itex]?

    What is [itex]\begin{vmatrix}1&2&3&4\\-1&0&3&4\\-1&-2&0&4\\-1&-2&-3&0\end{vmatrix}[/itex]?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook