Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.(a) If dim(V) = n, then any set of n + 1 vectors in V must be linearly dependent. (b) If dim(V) = n, then any set of n − 1 vectors in V must be linearly independent.

Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text.(a) If dim(V) = n, then any set of n + 1 vectors in V must be linearly dependent. (b) If dim(V) = n, then any set of n − 1 vectors in V must be linearly independent.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 9CM: Take this test to review the material in Chapters 4 and 5. After you are finished, check your work...

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