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Math Help - Kernel matrix

  1. #1
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    Kernel matrix

    Hello guys
    I have a problem I need to solve and I would be grateful if someone could help me:
    I have the attached matrix:


    Can you help me identify the kernel in it and try to identify some vectors included in K?
    Is there also a possibility to show that K is a subspace of R^3?

    Thanks in advance
    Attached Thumbnails Attached Thumbnails Kernel matrix-capture2.jpg  
    Last edited by geo2; December 6th 2009 at 09:12 AM.
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  2. #2
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    any help pls???
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  3. #3
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    Quote Originally Posted by geo2 View Post
    Hello guys
    I have a problem I need to solve and I would be grateful if someone could help me:
    I have the attached matrix:


    Can you help me identify the kernel in it and try to identify some vectors included in K?
    Is there also a possibility to show that K is a subspace of R^3?

    Thanks in advance

    Solve the homogeneous linear system associated to this matrix (i.e., this matrix is the system's coefficients matrix):

    \begin{pmatrix}1&4&9&7\\2&9&15&10\\3&11&30&25\end{  pmatrix}\begin{pmatrix}x_1\\x_2\\x_3\\x_4\end{pmat  rix}=\begin{pmatrix}0\\0\\0\end{pmatrix}.

    To solve this, and find K=kernel of the matrix, you have to bring the matrix to echelon form (Gauss or Jordan-Gauss method).

    Tonio
    Last edited by tonio; December 7th 2009 at 08:54 AM.
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  4. #4
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    thankssss
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