~. This exercise is used in Section e12.6. Let E eRn. The translation of E by an
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~. This exercise is used in Section e12.6. Let E eRn. The translation of E by an x ERn is the set x + E = {y ERn: y = x + z for some z E E}, and the dilation of E by a scalar ex > 0 is the set exE = {y ERn : y = cxz for some z E E}.
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