Homework need help let B 1, t, t 2 be the standard basis of the space P 2 of polynomials of degree 2 or less Use coordinate vectors to test whether the following set S of polynomials span P 2 Justify ur conclusion S 1 2t 3t 2 , 4 3t 2t 2 , 2 3t 8t 2 , 4 6t 8t 2 hint consider the given basic of P 2 What is the dimension of P 2 What is the minimum number of vectors needed to span P 2

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Question: Homework need help let B= { 1, t, t 2 } be the standard basis of the space P 2 of polynomials of degree 2

Homework need help

let B= { 1, t, t²} be the standard basis of the space P₂ of polynomials of degree 2 or less. Use coordinate vectors to test whether the following set S of polynomials span P₂. Justify ur conclusion.

S= { 1 - 2t+3t², -4 +3t-2t² , - 2 - 3t + 8t² , 4 -6t + 8t²}

hint: consider the given basic of P₂. What is the dimension of P₂? What is the minimum number of vectors needed to span P_2?

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