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    Solutions for equations

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    Consider the equation Ax=b, with

    a=(1 1 a)
    (1 -1 1)
    (2 -1 -1)

    b=(6+b)
    ( b )
    ( b )

    for which values of a,b this system has no solutions? infinitely many solutions? unique solution? if possible, find the solution x explicitly in terms of a,b.

    © BrainMass Inc. brainmass.com November 29, 2021, 11:57 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/solutions-equations-11647

    Solution Preview

    [A|b] =

    So it is obvious that the system has no solution if
    -(5+a)/2 = 0 but -3-b  0, ...

    Solution Summary

    This looks at a system of equations and shows how to determine if it has no, infinitely many, or one unique solution, and then shows how to find the solution explicitly in terms of a and b.

    $2.49

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