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Homework Help: Advanced Linear Algebra

  1. Feb 11, 2012 #1
    I found the final answer posted online, but my work doesn't match up.

    v1 = 3t
    v2 = 5t1/2 - 6t

    Orthonormalized:

    [itex]
    v_1 = \sqrt{3}t [/itex] is correct.

    [itex]
    v_2 = \frac{1}{\sqrt{61}}(5t^{1/2} - 6t)[/itex] does not match.

    Furthermore, my part (b) is wrong, too. I know my methods are correct. I don't understand why the answers aren't matching.

    http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20120211_095108.jpg [Broken]

    http://i111.photobucket.com/albums/n149/camarolt4z28/File.jpg [Broken]
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
  3. Feb 11, 2012 #2
    I realized some of my arithmetic is wrong/incomplete towards the end on (b). It's even worse now.
     
  4. Feb 11, 2012 #3

    LCKurtz

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    Well, for one thing ##v_1## isn't ##3t##. It is ##t\sqrt 3 ##.
     
  5. Feb 11, 2012 #4
    Okay, yeah. I see what I wrote down that wasn't exactly right. Let me see if I didn't anything else wrong for the second orthogonal vector.

    I found the problem. Thanks!
     
    Last edited: Feb 11, 2012
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