3. Linear Independence and Span a) Explain whether the set is linearly independent or dependent by...

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3. Linear Independence and Span a) Explain whether the set is linearly independent or dependent by in- spection (i.e. don't calculate anything. The answer should be clear im- mediately) 0·006 { b) Determine if the set spans R³ 2 0·0·0 -3 { 2 1 } c) Determine if the set is linearly independent or dependent {x1,x+1, x² + x + 1} d) Give a geometric reasoning as to why any set of 3 vectors in R² is linearly dependent 3. Linear Independence and Span a) Explain whether the set is linearly independent or dependent by in- spection (i.e. don't calculate anything. The answer should be clear im- mediately) 0·006 { b) Determine if the set spans R³ 2 0·0·0 -3 { 2 1 } c) Determine if the set is linearly independent or dependent {x1,x+1, x² + x + 1} d) Give a geometric reasoning as to why any set of 3 vectors in R² is linearly dependent