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Unformatted text preview: CO 355 Mathematical Optimization (Fall 2010) Assignment 0 (Preliminary Quiz) Due: Tuesday September 21st, in class. Policy. No collaboration is allowed. You are welcome to seek help from the current instructor and TAs for CO 355. Question 1: Why did you decide to take this class? Although it’s perhaps hard to say, what are your future career plans (or a few possibilities)? Question 2: True or false: (a): To prove a logical statement, it is sufficient to prove its converse. (b): To prove a logical statement, it is sufficient to prove its contrapositive. Question 3: Write the negation of the statement “John ate a burger and Fred drank a beer”. Question 4: True or false: (a): Let A be a matrix, let u and v be vectors, and let α and β be scalars. Is A ( αu + βv ) = αAu + βAv ? (b): Let x and y be linearly dependent vectors. Is x is a scalar multiple of y ? (c): Let A and B be square matrices of the same size and such that det A = det B . Is rank A = rank B ?...
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 Winter '10
 Harvey
 Linear Algebra, Vector Space, following matrix product, Sα ⊆ Rn

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