3 Let V, V2, V3 be the vectors in R defined by V1 = -18 -15...

 

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3 Let V₁, V2, V3 be the vectors in R³ defined by V1 = -18 -15 18 V₁+ V2 = 7 9 15 (c) Type the dimension of span {v₁, V2, V3 }: (a) Is {V₁, V2, V3 } linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of V₁, V2, and V3 0= V3 = V₂+ V2+ -32 -33 -12 (b) Is (V2, V3 } linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non- trivial (not all zero coefficients) linear combination of 12 and 13. 0 = H V3 V3 3 Let V₁, V2, V3 be the vectors in R³ defined by V1 = -18 -15 18 V₁+ V2 = 7 9 15 (c) Type the dimension of span {v₁, V2, V3 }: (a) Is {V₁, V2, V3 } linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non-trivial (not all zero coefficients) linear combination of V₁, V2, and V3 0= V3 = V₂+ V2+ -32 -33 -12 (b) Is (V2, V3 } linearly independent? Write all zeros if it is or if it is linearly dependent write zero as a non- trivial (not all zero coefficients) linear combination of 12 and 13. 0 = H V3 V3