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Math Help - matrix solution question..

  1. #1
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    matrix solution question..

    i cant think theoretically here.
    there is a homogeneos equation system which has k equations and n variables.

    what type of solution we have if for k>n?

    what type of solution we have if for k<=n?

    first of all i cant deside if the equatins oare independant.

    if k>n then we have endless solutions because of the free variables.

    if k<=n then we will have one of the equations which will turn to a line of zeros

    so i dont know what is the solution of this
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  2. #2
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    Quote Originally Posted by transgalactic View Post
    i cant think theoretically here.
    there is a homogeneos equation system which has k equations and n variables.

    what type of solution we have if for k>n?

    what type of solution we have if for k<=n?

    first of all i cant deside if the equatins oare independant.

    if k>n then we have endless solutions because of the free variables.

    if k<=n then we will have one of the equations which will turn to a line of zeros

    so i dont know what is the solution of this
    Use Google to find websites that explain this. There are hundreds of them. Or consult your textbook or class notes.
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  3. #3
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    Quote Originally Posted by transgalactic View Post
    i cant think theoretically here.
    there is a homogeneos equation system which has k equations and n variables.

    what type of solution we have if for k>n?

    what type of solution we have if for k<=n?

    first of all i cant deside if the equatins oare independant.
    There is nothing to decide. The equation may or may not be independent. If the equations are not independent, how will that affect your answer?

    if k>n then we have endless solutions because of the free variables.
    No. You have k> n and k< n reversed.

    if k<=n then we will have one of the equations which will turn to a line of zeros

    so i dont know what is the solution of this
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