1.Determine by inspection why the given set S is not a basis for R^3. (That is, either S is linearly dependent or S does not span R^3 S = {u1, u5} 2.Use theorem 9, property 3 to determine whether the given set is a basis for the indicated vector space. (Theorem 9, property 3: Let W be a subspace of R^n with dim(W)=p; any set p linearly independent vectors in W is a basis for W ) S = {v1, v2, v4} for R3

1.Determine by inspection why the given set S is not a basis for R^3. (That is, either S is linearly dependent or S does not span R^3 S = {u1, u5} 2.Use theorem 9, property 3 to determine whether the given set is a basis for the indicated vector space. (Theorem 9, property 3: Let W be a subspace of R^n with dim(W)=p; any set p linearly independent vectors in W is a basis for W ) S = {v1, v2, v4} for R3

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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