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    Range of Linear Operators

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    Show that the range of the linear operator defined by the equations

    w1 = x1 - 2x2 + x3
    w2 = 5x1 - x2 + 3x3
    w3 = 4x1 + x2 + 2x3

    is not all of R3, and find a vector that is not in the range.

    © BrainMass Inc. brainmass.com October 9, 2019, 7:29 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/range-linear-operators-119878

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    4. Show that the range of the linear operator defined by the equations

    w1 = x1 - 2x2 + x3
    w2 = 5x1 - x2 + 3x3
    w3 = 4x1 + x2 + 2x3
    ...

    Solution Summary

    The range of a linear operator is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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