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Thread: Linear Algebra Problem

  1. #1
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    Healdsburg, California
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    Linear Algebra Problem

    I need to know if there is a way to solve:

    v1 = a + d
    v2 = a + j
    v3 = g + d
    v4 = g + j

    With v1, v2, v3, v4 independent there are 4 unknowns. It appears the determinant is zero or sparse.

    Thanks,
    timeng
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  2. #2
    MHF Contributor

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    Re: Linear Algebra Problem

    I have no idea what you mean here! Are the "four unknowns" a, d, g, and j? And v_1, v_2, v_3, and v_4 are constants? But what do you mean by "independent"? Are they vectors?

    Yes, row-reducing leads to a matrix with last row all 0s. That gives 0= v_1- v_2- v_3+ v_4. If v_1+ v_4 is not equal to v_2+ v_3 then there is no solution. If v_1+ v_4= v_2+ v_3 then there are an infinite number of solutions.
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  3. #3
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    Re: Linear Algebra Problem

    Thanks. I need to go and better describe the overall problem. Then, maybe a solution approach will become evident.
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