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Given four non-zero vectors u, v, w, zER, set A = uv + wzT. (a) Describe the generating set of the columns of A;

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Given four non-zero vectors u, v, w, zER", set A = uv + wzT. (a) Describe the generating set of the columns of A; (b) Describe the generating set of the rows of A; (c) Find conditions on u, v, w, z under which A has rank one and two, respectively.

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