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Given the polynomial p1=2+x^2 ;P2=1-x+2x^2 ;P=3-x+3x^2 a. Show that S = (p1, p2, p3) is a basis in the vector space P2. b. Express
Given the polynomial p1=2+x^2 ;P2=1-x+2x^2 ;P=3-x+3x^2 a. Show that S = (p1, p2, p3) is a basis in the vector space P2. b. Express the polynomial p4= -2+5x^2 as a linear combination of P1, P2, P3.
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a To show that S p1 p2 p3 is a basis in the vector space P2 we need to show that S is linearly independent and spans P2 Linear Independence We need to ...
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Discrete Mathematics and Its Applications
Authors: Kenneth H. Rosen
7th edition
0073383090, 978-0073383095
