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Math Help - Solution set for Ax = 0 and Ax = b with Gaussian Elimination + General questions

  1. #1
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    Solution set for Ax = 0 and Ax = b with Gaussian Elimination + General questions

    General Question:


    Currently we are working with the Gaussian Elimination and I have some questions about the resulting matrixes.

    Matrix 1: When my last row looks like in the picture, what does it tell me about the matrix and the result? What are the properties of such a matrix where I have no row with exclusively 0?

    Matrix 2: What happens if I get a row filled with 0 exclusively? (Properties and result?)

    Matrix 3: Can I get and transform into "odd steps" like shown there without a regular pattern? Is it allowed or not?

    Matrix 4: Can my last row contain more than just one element that is not 0?

    Additionally. When I transform a matrix, WHEN do I know that I can stop to actually transform? I am extremly unsure about this, because I do not know when I am actually done.


    Assignment:
    I need to find out the solution set for Ax = 0 and Ax = b


    First of all I will try to find out Ax = b to make the first part pf the assignment easier:


    So now I have some sort of steps in my matrix and i cant get rid of the -0,5. Is this okay?
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  2. #2
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    Re: Solution set for Ax = 0 and Ax = b with Gaussian Elimination + General questions

    Ntice that we have 5 variables and 4 equations so we cannot find unique solution.
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