Please solve clear handwriting 1. Consider the vectors (2, -3, 1), (-1,7, -3), and (8, -1,-1). (a)

Please solve   clear handwriting

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1. Consider the vectors (2, -3, 1), (-1,7, -3), and (8, -1,-1). (a) Find a basis for the span of these vectors showing a row reduced matrix to support your result. State the dimension of this subspace of R³. 15 points] (b) Show that these three vectors are dependent by writing an explicit nontrivial linear combination of these vectors that is the zero vector. |5 points) 1. Consider the vectors (2, -3, 1), (-1,7, -3), and (8, -1,-1). (a) Find a basis for the span of these vectors showing a row reduced matrix to support your result. State the dimension of this subspace of R³. 15 points] (b) Show that these three vectors are dependent by writing an explicit nontrivial linear combination of these vectors that is the zero vector. |5 points)