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    linearly independent or linearly dependent

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    In the following case, state if the following set of vectors are linearly independent or linearly dependent. Justify your answer.

    G = {[(1, -1), (-1, 0)],[(1, -4), (1, 0)],[(1, -6), (1, 0)],[(0, 0), (1, 0)]}

    These are four 2x2 matrices

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    Solution Preview

    I will assume that the coordinate vectors correspond to the rows of a matrix. Denote the matrices by X, Y, Z, W respectively,
    and suppose there are scalars a, ...

    Solution Summary

    This solution judges if vectors are linearly independent or linearly dependent.