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- Find a basis for the row space of A = -3 4 1 2 Basis for row(A) = {| 9 -6 15 -12 6 -14 -26 16 -6 -14 -11 14 -1 5 33 -16 Enter your answer as a list of vectors separated by commas, and use angle brackets to type each vector, such as ''. }.Let A = - - ст 5 -5 -5 15 -4 -6 -2 -5 1 - -3 -6 0 3 7 - -1 Find a basis for the column space of A.Determine if the set {(1,1, −1), (1, −1,1), (0,0,1)} is a basis of ℝ^3
- Find a basis for the column space of 4 1 3 0 - -31 3 2 1 4 -1 A -3 -2 -1 - -4 2 6 -4 -2 -8 3 Basis }. ={ 9.Let V₁, V2, V3 be the vectors in R³ defined by 18 ---D V₁ = -6 V2 = -14 V3 = 20 (a) is (V1, V2, Vs} 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 (c) Type the dimension of span {V1, V2, V3}: Note: You can earn partial credit on this problem. -25 -18] 0=v₁+√₂+vs (b) Is (v1, vs} 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 V3. 0=v₁+v₁ V33) Find a basis of F3 containing the vectors (1, 2, -3), (2, 6, -3)
