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The question is in the screenshot below!! The vector space P of polynomials degree-n or lower is fairly interesting. An arbitrary element is given by

The question is in the screenshot below!!

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The vector space P\" of polynomials degree-n or lower is fairly interesting. An arbitrary element is given by 1) = ant" + an_1t\"'1 + an_2t\"'2 + - - - + alt + 050. Notice that the vector is not a particular value of t- it is the function itself. As such it is completely dened by the coefcients and we can in fact represent it by the more familiar vector that is, as vectors in R\" 1. (a) What is the length of the polynomial function 1; = 9:3 + 2:152 + 2:1; + 3? (b) What is the angle between the polynomial v and w = 3x2 + a: 1

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