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Math Help - find a vector b such that Ax = b has no solution

  1. #1
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    find a vector b such that Ax = b has no solution

    A=
    [1 1 2 3]
    [1 2 1 1]
    [2 3 3 4]
    find a vector b such that Ax = b has no solution. Explain why.
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  2. #2
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    Quote Originally Posted by dusty View Post
    A=
    [1 1 2 3]
    [1 2 1 1]
    [2 3 3 4]
    find a vector b such that Ax = b has no solution. Explain why.

    Let b=\begin{pmatrix}b_1\\b_2\\b_3\end{pmatrix} , and now bring to echelon form the augmented matrix \begin{pmatrix}1&1&2&3&||&b_1\\1&2&1&1&||&b_2\\2&3  &3&4&||&b_3\end{pmatrix} , and check for which choices of b_1,\,b_2,\,b_3 the system is incongruent (i.e.

    it has no solution)

    Tonio
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