MATH-205 Midterm: Bates MATH 205 030714ross205exam
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Name: consider the following polynomials in p2: p1 = 10x2 + 5x + 1, p2 = 9x2 + 4x, p3 = 11x2 + x 7, and p4 = x2 + x + 1. Show all matrices used in determining your answer. Verify that d = 24x2 + 4x 12 satis es the conditions in 1a. Find all possible ways to express d as a linear combination p1 + p2 + p3 + p4 of p1, p2, p3, and p4. 1d. (very short yes-or-no answers) let s = {p1, p2, p3, p4}. , let r be the matrix rref(m ), let b = . Fact: the rref of [m | b] is . If they are not equal, nd a vector in one that"s not in the other. Show how to express b as a linear combination of the basis vectors in 2c. It"s a fact that n nul m .
