In the vector space P_4 of all polynomials of degree less than or equal to 4 we define the first five Tchebychev polynomial as(adsbygoogle = window.adsbygoogle || []).push({});

p_0(x) = 1

p_1(x) = x

p_2(x) = 2x^2 - 1

p_3(x) = 4x^3 - 3x

p_4(x) = 8x^4 - 8x^2 + 1

To show that B={p_0, p_1, p_2, p_3, p_4} is a basis of P_4, do I put them in a matrix, find the row-echelon form and find the vector space with pivots? I so, how do I put it in a matrix?

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# Vector Space: Basis

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