Consider the polynomials p, (1) = 6 + 7t and p2(t) = 6- 71. Is (P,. P2} a linearly independent set in P3? Why or why not? Choose the correct answer below. O A. The set {P,. P2} is a linearly dependent set because p, (t) + P2 (t) does not contain the variable t. 1- B. The set {P,. P2} is a linearly dependent set because both polynomials have degree less than 3. OC. The set {P,, P2} is a linearly independent set because neither polynomial is a multiple of the other polynomial. 1: O D. The set {p,, P) is a linearly independent set because there are only two elements in this set but P, has dimension 3.
Consider the polynomials p, (1) = 6 + 7t and p2(t) = 6- 71. Is (P,. P2} a linearly independent set in P3? Why or why not? Choose the correct answer below. O A. The set {P,. P2} is a linearly dependent set because p, (t) + P2 (t) does not contain the variable t. 1- B. The set {P,. P2} is a linearly dependent set because both polynomials have degree less than 3. OC. The set {P,, P2} is a linearly independent set because neither polynomial is a multiple of the other polynomial. 1: O D. The set {p,, P) is a linearly independent set because there are only two elements in this set but P, has dimension 3.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:Consider the polynomials p, (1) = 6 + 7t and p2(t) = 6- 71. Is (P,. P2} a linearly independent set in P3? Why or why not?
Choose the correct answer below.
O A. The set {P,. P2} is a linearly dependent set because p, (t) + P2 (t) does not contain the variable t.
1-
B. The set {P,. P2} is a linearly dependent set because both polynomials have degree less than 3.
OC. The set {P,, P2} is a linearly independent set because neither polynomial is a multiple of the other polynomial.
1:
O D. The set {p,, P) is a linearly independent set because there are only two elements in this set but P, has dimension 3.
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