Recall that P, is the collection of all polynomials of degree 2 or lower. Let S be the collection of polynomials S = {–3t² + t, t² – 3t – 4}. а. Determine if S is linearly independent. b. Is Sa basis for P2? Justify your answer.

Recall that P, is the collection of all polynomials of degree 2 or lower. Let S be the collection of polynomials S = {–3t² + t, t² – 3t – 4}. а. Determine if S is linearly independent. b. Is Sa basis for P2? Justify your answer.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 1E: 1. Find a monic polynomial of least degree over that has the given numbers as zeros, and a monic...

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Recall that P2 is the collection of all polynomials of degree 2 or lower. Let S be the collection of
polynomials S = {-3t² + t,t² – 3t – 4}.
а.
Determine if S is linearly independent.
b.
Is Sa basis for P2? Justify your answer.

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