Consider the polynomials p,(t)=7+t and p2(t) = 7-t. Is {p1, P2} a linearly independent set in P,? Why or why not? ey ... Choose the correct answer below.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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Consider the polynomials p, (t) = 7+t and p2(t) = 7 -t". Is (P1, P2} a linearly independent set in P,? Why or why not?
ev
Choose the correct answer below.
ml
O A. The set {P1. P} is a linearly dependent set because p, (t) +p, (t) does not contain the variable t.
O B. The set {P, P>} is a linearly independent set because neither polynomial is a multiple of the other polynomial.
stio
O C. The set {P., P) is a linearly independent set because there are only two elements in this set but P, has dimension 3.
stio
O D. The set {p., p is a linearly dependent set because both polynomials have degree less than 3.
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Transcribed Image Text:Consider the polynomials p, (t) = 7+t and p2(t) = 7 -t". Is (P1, P2} a linearly independent set in P,? Why or why not? ev Choose the correct answer below. ml O A. The set {P1. P} is a linearly dependent set because p, (t) +p, (t) does not contain the variable t. O B. The set {P, P>} is a linearly independent set because neither polynomial is a multiple of the other polynomial. stio O C. The set {P., P) is a linearly independent set because there are only two elements in this set but P, has dimension 3. stio O D. The set {p., p is a linearly dependent set because both polynomials have degree less than 3. hat to Start urse (Mat Textbook Calculator Ask my instructor Clear all SUS
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