Answered: There are four vectors (1,2,3),…

There are four vectors (1,2,3), (1,-1,2), (2,4,6) and (2,6,c). If there is a condition in which the vector (2,5,8) cannot be expressed in the form of a linear combination of these vectors, find it.

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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Question

There are four vectors (1,2,3), (1,-1,2), (2,4,6) and (2,6,c). If there is a condition in which the vector (2,5,8) cannot be expressed in the form of a linear combination of these vectors, find it.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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