Show that a set of vectors V (not containing the 0 vector)is linearly dependent if and only if there exists some vectorin V that can be written as a nontrivial linear combinationof other vectors in V.
Show that a set of vectors V (not containing the 0 vector)is linearly dependent if and only if there exists some vectorin V that can be written as a nontrivial linear combinationof other vectors in V.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.32P: Show that (2arr+2brr)dt=ar2+br2+const. where r is the vector from the origin to the point (x1, x2,...
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Show that a set of vectors V (not containing the 0 vector)
is linearly dependent if and only if there exists some vector
in V that can be written as a nontrivial linear combination
of other vectors in V.
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