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Math Help - positive definite scalar product proof

  1. #1
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    positive definite scalar product proof

    Assume a positive definite scalar product. let v1, ... vn be non zero elements which are mutually perpendicular, i.e. <vi, vj> = 0 if i not equal to j. show that they are linearly independent.
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  2. #2
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    Quote Originally Posted by grandunification View Post
    Assume a positive definite scalar product. let v1, ... vn be non zero elements which are mutually perpendicular, i.e. <vi, vj> = 0 if i not equal to j. show that they are linearly independent.
    Hint
    Let a1v1+.....+anvn = 0
    So, <a1v1+.....+anvn,v1>=0

    What do you get?
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