ques 2plz provide answer for part a 2.Consider the vectors:V1 = (2,0,0,-2),|V2 = (– 14,–7,-12,54),V3 = (0,1,1-6)%3DV4 = (-32,-15|-25,118).a) Find the dimension of the vector subspace A = b) Calculate the value of k that makes the vector (-4,k, – 2, 16)part of this vector subspace.c) Let us now consider the vector subspace B= Calculate the coordinates of thevector V5 = (18,6,6,-54)in the base B.d) Finally, consider V6 = (-14,-6,-6, a). What must be the value of a for Vi, V3i V6to be threelinearly independent vectors?

Answered: Image /qna-images/answer/d90a1208-0e38-4ea0-b537-c5d79449cc9f.jpg

Answered: Consider the vectors: V1 = (2,0,0,-2),…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.4: Spanning Sets And Linear Independence

Problem 74E: Let u, v, and w be any three vectors from a vector space V. Determine whether the set of vectors...

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Consider the vectors: V1 = (2,0,0,-2), |V2 = (–14 –7,–12,54). V3 = (0,1 1|-6) V4 = (-32,–15|-25,118). a) Find the dimension of the vector subspace A =