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Homework Help: Linear Algebra - Gram Schmidt & Normalization - Error in Sol

  1. Apr 10, 2016 #1
    1. The problem statement, all variables and given/known data

    So I think I found an error in the solution were it attempts to find q_2^

    I'm asked find the orthornomal basis for the column space of matrix A.

    equation 1.PNG

    2. Relevant equations

    3. The attempt at a solution

    My question is in what it puts for q_2^

    equation 2.PNG
    A_2 = [4/3 4/3 -2/3]^T
    ||A_2|| = sqrt((4/3)^2 + (4/3)^2 + (-2/3)^2) = 2

    but in the answer key since
    q_2 = A_2/||A_2|| it's implying that ||A_2|| = 3 but I calculate 2. Am I doing something wrong?

    Thanks for your help.
    Last edited: Apr 10, 2016
  2. jcsd
  3. Apr 10, 2016 #2
    Oh I see that it's correct my bad
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