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Math Help - Linear dependence and indipendence

  1. #1
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    Linear dependence and indipendence

    I have a question for the following example that i read from a book which is:-

    Show that the functions y_1=x^2, y_2=5x, y_3=2x are linearly dependent on any interval.

    and the solution for the example from the book

    Solution. y_2=0y_1+2.5y_3. (I didn't understand this??)
    This prove linear dependence on any interval.

    p/s: Can anybody help me with this. I know the Wronskian and the quotient thing but i didn't understand at all about this example. I get this example from ADVANCE ENGINEERING MATHEMATIC, Kreyzsig, 9th edition, chapter 3.1, example 1
    Last edited by defog171; July 24th 2009 at 01:46 AM. Reason: to edit the source of the problem
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  2. #2
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  3. #3
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    yap.. it was very easy actually.. maybe i was thinking too hard that i cannot even understand the simplest example. thanx, you are very helpful.
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  4. #4
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    You're welcome ^^
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