Suppose ....,V4}is a linearly dependent spanning set for a vector space V. Show that each w in V can be expressed in more than one way as a linear combination of V4. [Hint: Let w = k¡v1 + •…+ k4v4 /1, . . . , V4 V1, ..., be an arbitrary vector in V. Use the linear dependence of {V1,..., V4 to produce another representation of w , V4.] as a linear combination of V1,,...

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