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Binomial Formula in Matricces

  1. Mar 19, 2012 #1
    1. The problem statement, all variables and given/known data

    I'm sorry this doesnt look too nice but it is supposed to be two matricces.

    Show:

    |1 a1-b1 a1+b1| |1 a1 b1|
    |1 a2-b2 a2+b2|=2*|1 a2 b2|
    |1 a3-b3 a3+b3| |1 a3 b3|

    without evaluating the determinants.

    2. Relevant equations

    3. The attempt at a solution

    It pretty obviously has got something to do with the 3. binomial formula and the rule that λ*A = λ*every value in the matrix.

    I really don't know where to start on this, since I can't evaluate the determinants.
    I'm pretty sure there is an easy way to do this, but I just can't see it.

    Help is very much appreciated!

    Thank you
     
  2. jcsd
  3. Mar 19, 2012 #2

    tiny-tim

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    Science Advisor
    Homework Helper

    Welcome to PF!

    Hi Crution! Welcome to PF! :smile:

    Do you know any rules for adding one column to another column? :wink:
     
  4. Mar 20, 2012 #3
    thanks that was enough help :-)
     
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