If B is the standard basis of the space P3 of polynomials, then let B = {1, t, t², 13³). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. (2-1)³. (-3-t)², 1+18t-5t² +1³ Write the coordinate vector for the polynomial (2-t)³, denoted p₁. P₁ = FRIED
If B is the standard basis of the space P3 of polynomials, then let B = {1, t, t², 13³). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work. (2-1)³. (-3-t)², 1+18t-5t² +1³ Write the coordinate vector for the polynomial (2-t)³, denoted p₁. P₁ = FRIED
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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6) please help with p1, p2, p3, and if they are independent or dependent.
![If B is the standard basis of the space P3 of polynomials, then let B = {1, t, t², t3). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work.
(2-1)³. (-3-t)², 1+18t-5t² +1³
Write the coordinate vector for the polynomial (2-t)³, denoted p₁.
P₁ =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08f6f3ae-62d0-4ecf-a7d1-a70a7054db3c%2F8494336f-89d4-4ad8-b638-532f98b8d58c%2F28kfg7o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If B is the standard basis of the space P3 of polynomials, then let B = {1, t, t², t3). Use coordinate vectors to test the linear independence of the set of polynomials below. Explain your work.
(2-1)³. (-3-t)², 1+18t-5t² +1³
Write the coordinate vector for the polynomial (2-t)³, denoted p₁.
P₁ =
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