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Show that every proper subspace u of r 2 is a line through the origin. [hint: if d is a nonzero vector in u, let l = rd = {rd | r in r} denote the line with direction vector d. if u is in u but not in l, argue geometrically that every vector v in r 2 is a linear combination of u and d.]
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Apply distributive property to write equivalent equation 105×35m
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Show that every proper subspace u of r 2 is a line through the origin. [hint: if d is a nonzero vec...
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