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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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
S = {v1, v2, v4} for R3
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