HIf vectors x, y, z, u in the real vector space p (the polynomials) are defined by x(t)=1, y (t)=t, z(t)=ť² , prove that x, y, z, u are linearly dependent, but any 3 of them are linearly independent. u(t)=1+t+t,

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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HIf vectors x, y, z, u in the real vector space
p (the polynomials) are defined by
x(t)=1, y (t)=t, z(t)=ť²,
prove that x, y, z, u are linearly dependent, but
any 3 of them are linearly independent.
u(t)=1+t+t,
Transcribed Image Text:HIf vectors x, y, z, u in the real vector space p (the polynomials) are defined by x(t)=1, y (t)=t, z(t)=ť², prove that x, y, z, u are linearly dependent, but any 3 of them are linearly independent. u(t)=1+t+t,
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