Question: Let V1, V2, V3 be the vectors in R defined by VI = = (a) Is {V1, V2, V3} linearly independent? Write all zeros if

Let V1, V2, V3 be the vectors in R" defined by VI = = (a) Is {V1, V2, V3} linearly independent? Write all zeros if it is, or if it is linearly dependent write the zero vector as a non-trivial (not all zero coefficients) linear combination of V1, V2, and V3 0 =[vit v2+ v 3 (b) Is { v1; v2} linearly independent? Write all zeros if it is, or if it is linearly dependent write the zero vector as a non-trivial (not all zero coefficients) linear combination of V1 and V2. 0 = Vit |V2 (c) Type the dimension of span { v1, v2, v3}
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