MATH 551 Final: MATH 551 KSU Final Exam s99

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6 gives (c) what is the set of all solutions of. 5x1 + 3x2 x3 + 2x4 = 7. X1 2x2 + 3x3 + 2x4 = 1. 6x1 + 4x2 + 4x3 + 8x4 = 8 (d) what is det . 6: pick the letters of the graphs which match each of the following functions: i) ii) f (x, y) = 5x2 + 8xy + y2 g(x, y) = 3x2 + 2xy 4y2. C: let l : p2 p2 be a di erential operator of the form: L(f (x)) = (a1x2 + a2x + a3)f (x) + (a4x + a5)f (x) + a6f (x) Nd the constants a1 , a2 , a3 , a4 , a5 and a6 . 0 0 in the bases {1, x, x2} {1, x, x2} : let t : p3 p3 be a linear map so that. T (x3 2x) = 4x2 + 1,

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