By using appropriate identities, where required, determine which of the following sets of vectors in F(-0, 00) are linearly dependent. NOTE: If the set is linearly dependent, erpress the vector 0 as a linear combination with coefficients that are not all zero to justify your answer. (d) 4 cos(2x), sin (x), cos²(x) This set is Choose one (e) (5 – 2)², a? – 10.a, 5 This set is Choose one v - (f) 0, cos (mæ), cos“(37x) This set isChoose one v

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 18EQ
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By using appropriate identities, where required, determine which of the
following sets of vectors in F(-0, 00) are linearly dependent.
NOTE: If the set is linearly dependent, express the vector 0 as a linear combination with
coefficients that are not all zero to justify your answer.
(d) 4 cos(2x), sin?(x), cos²(x)
This set is Choose one v
(e) (5 – x), a? – 10r, 5
This set is |Choose one
|
(f) 0, cos (Tx), cos (3Tx)
This set is Choose one
Transcribed Image Text:By using appropriate identities, where required, determine which of the following sets of vectors in F(-0, 00) are linearly dependent. NOTE: If the set is linearly dependent, express the vector 0 as a linear combination with coefficients that are not all zero to justify your answer. (d) 4 cos(2x), sin?(x), cos²(x) This set is Choose one v (e) (5 – x), a? – 10r, 5 This set is |Choose one | (f) 0, cos (Tx), cos (3Tx) This set is Choose one
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