Q#2 Let V = P3(x) be the vector space of all polynomials of degree


Q#2 Let V = P3(x) be the vector space of all polynomials of degree < 3 over R together with<br>the zero polynomial. Determine whether u, v,w e V are linearly dependent or linearly<br>independent:<br>u = x³ – 4x² + 2x + 3 v = x³ + 2x² + 4x – 1 u = 2x³ – x² + 3x + 3<br>

Extracted text: Q#2 Let V = P3(x) be the vector space of all polynomials of degree < 3="" over="" r="" together="" with="" the="" zero="" polynomial.="" determine="" whether="" u,="" v,w="" e="" v="" are="" linearly="" dependent="" or="" linearly="" independent:="" u="x³" –="" 4x²="" +="" 2x="" +="" 3="" v="x³" +="" 2x²="" +="" 4x="" –="" 1="" u="2x³" –="" x²="" +="" 3x="" +="">

Jun 05, 2022
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