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Math Help - How to find residual vector for the linear combination

  1. #1
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    Question How to find residual vector for the linear combination

    I'm trying to make sense of this problem I got wrong on a quiz several weeks ago.

    How does one find a residual vector of a linear combination?

    I know how to find the linear combination, and I have a target vector -- not sure of what to do next.

    Any help would be greatly appreciated.

    How to find residual vector for the linear combination-scan.jpeg
    Last edited by nehpets; April 7th 2011 at 08:00 PM. Reason: to clarify my question
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  2. #2
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    Looks like an assessed piece of work.
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  3. #3
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    Yes, as in already corrected (without explanation). I'm trying to find out what I did wrong before I am quizzed on this. I thought that would be compatible with the rules?
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  4. #4
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    I think, now, that my mistake involved forgetting to subtract the vector I found (3, 3, -7, -7) from w, the target vector. (Found this idea on Wiki, of all places). Just wondering about the theory behind this, if anyone can explain the concept.
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