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Math Help - Rank of matrix and solutions.

  1. #1
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    Rank of matrix and solutions.

    Q22: If Rank of a matrix is equal to No. of variable then it have
    A. Non-Trivial solution, x = y = z? 0
    B. Trivial Solution, x = y = z = 0
    C. x = y = 0, z = 0
    D. None
    how?
    Last edited by mr fantastic; February 11th 2011 at 01:32 AM. Reason: Re-titled, excessive ?'s deleted from post, moved to correct subforum.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    It is an inmediate consequence of Rouche-Fröbenius's theorem. Have you studied it?.


    Fernando Revilla
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  3. #3
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    What do you mean by "the solution to a matrix"?

    Are you talking about the equation Ax= 0?
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by HallsofIvy View Post
    Are you talking about the equation Ax= 0?

    I interpreted it in that way (the stamentet is not clear) .


    Fernando Revilla
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