Let x,y,z Є Rn be given vectors. If {x, y} is linearly independent, and {x,z} is linearly independent, then x cannot be written as a linear combination of y and z.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
Section: Chapter Questions
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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Prove or disprove the following statements.

Let x,y,z Є Rn be given vectors. If {x, y} is linearly independent, and {x,z} is linearly
independent, then x cannot be written as a linear combination of y and z.
Transcribed Image Text:Let x,y,z Є Rn be given vectors. If {x, y} is linearly independent, and {x,z} is linearly independent, then x cannot be written as a linear combination of y and z.
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