Show that the vectors (1,0,1,0,1,0) and (0,1,1,1,1,-1) generate the same subspace in R^6 as the vectors (4,-5,-1,-5,-1,5) and (-3,2,-1,2,-1,-2) Would very much appreciate some help, how do I show that two vectorpairs generates the same subspace? How do I calculate what subspace one pair of vectors generates?

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Show that the vectors (1,0,1,0,1,0) and (0,1,1,1,1,-1) generate the same subspace in R^6 as the vectors (4,-5,-1,-5,-1,5) and (-3,2,-1,2,-1,-2) Would very much appreciate some help, how do I show that two vectorpairs generates the same subspace? How do I calculate what subspace one pair of vectors generates?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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