Recall: "If and only if" two directions. Given n vectors V₁,..., V, it is possible to write one of the vectors as a lin- ear combination of the other n - 1 vectors if and only if there exist scalars C1,..., Cn, not all zero, such that Vi+c2+…+CV=0
Recall: "If and only if" two directions. Given n vectors V₁,..., V, it is possible to write one of the vectors as a lin- ear combination of the other n - 1 vectors if and only if there exist scalars C1,..., Cn, not all zero, such that Vi+c2+…+CV=0
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 2CM: Take this test to review the material in Chapters 4and Chapters 5. After you are finished, check...
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![Recall: "If and only if" two directions.
Given n vectors V₁,..., Vn, it is possible to write one of the vectors as a lin-
ear combination of the other n - 1 vectors if and only if there exist scalars
C1,..., Cn, not all zero, such that
CIV+CV2+…+c=0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00c8577b-545d-4cd6-92f6-0f403afbd331%2F4684e442-8e27-441a-a441-8b38e9676173%2Fk17owon_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Recall: "If and only if" two directions.
Given n vectors V₁,..., Vn, it is possible to write one of the vectors as a lin-
ear combination of the other n - 1 vectors if and only if there exist scalars
C1,..., Cn, not all zero, such that
CIV+CV2+…+c=0
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