Suppose {v1, ..., v4} is a linearly dependent spanning set for a vector space V. Show that each vector w in V can be expressed in more than one way as a linear combination of v1, ..., v4.
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Step 1: Given that {V1, V4} is a linearly dependent spanning set for a vector space V, we know that there exist constants c1 and c2, not both zero, such that c1V1 + c2V4 = 0. Show more…
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