3. Use the definition of linear independence to show that if the set {v1,v2,v3} is linearly independent, then the set
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3. Use the definition of linear independence to show that if the set {v1,v2,v3} is linearly independent, then the set
3. Use the definition of linear independence to show that if the set {v1,v2,v3} is linearly independent, then the set {w1,w2,w3} is linearly dependent if w1=−v1+v2,w2=2v1−v2+v3, and w3=−v1+2v2+v3. Then find a dependence relation between the vectors w1,w2, and w3.
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