Question: Let W be a four-dimensional vector space over R, let w1,w2,w3,w4 in W and let (3w1,w2,w3+w4,w4) be a generator system of W. Show that(w1,w2,w3,w4 )

Let W be a four-dimensional vector space over R, let w1,w2,w3,w4 in W and let (3w1,w2,w3+w4,w4) be a generator system of W.
Show that(w1,w2,w3,w4 ) is a basis of W.

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