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Math Help - Matrix question

  1. #1
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    Matrix question

    Hi there, I was asked the following question:

    The matrix:
    \begin{bmatrix} 1 & 1 & 2 \\3 & 2 & -2\\2 & 1 & k \end{bmatrix} \begin{bmatrix} 4 \\1\\2\end{bmatrix}
    has no solutions.

    Find the value of k.
    I got k = -4 as that's when inconsistency occurs.

    Could you give it a bash and tell me what you get for it please? I'm a little unsure of it.

    Thanks a lot
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  2. #2
    MHF Contributor
    Opalg's Avatar
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    It's not the matrix, but the system of equations \begin{bmatrix} 1 & 1 & 2 \\3 & 2 & -2\\2 & 1 & k \end{bmatrix}\begin{bmatrix} x\\y\\z\end{bmatrix} = \begin{bmatrix} 4 \\1\\2\end{bmatrix}, that has no solution when k = 4. But yes, k = 4 is when the inconsistency occurs.
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