are vectors in R³ are linearly independent but ü,v,w are linear dependent. Show that there exist real scalars a Suppose that ủ,v,w such that ū and v and b such that w=au+bv.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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8. Suppose that ü,v,w are vectors in R³
such that ü and v are linearly
independent but ü,v,w are linear
dependent. Show that there exist real scalars a
and b such that w=aū+bv.
3
Transcribed Image Text:8. Suppose that ü,v,w are vectors in R³ such that ü and v are linearly independent but ü,v,w are linear dependent. Show that there exist real scalars a and b such that w=aū+bv. 3
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