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

Parametrize the solution set of this one-equation system.

  1. Oct 10, 2015 #1
    The question: Parametrize the solution set of this one-equation system. x_1 + x_2 + ... + x_n = 0

    My question (please look at the photo): I understood why we have the first row, but what's the point of the other rows?
     

    Attached Files:

  2. jcsd
  3. Oct 10, 2015 #2

    andrewkirk

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    The answer is given as a subset of ##\mathbb{R}^n##, with the representative element given as a vector that is expressed as a sum of n-1 vectors that span the (n-1) dimensional solution space.

    Re-write that sum as a single vector, by adding component-wise, and you'll see how the rows work together to solve the problem.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Parametrize the solution set of this one-equation system.
Loading...