Mathematics (College) quiz

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Sample questions

• Let A be a real 2x2 matrix. Which of the following statements must be true? I. All of the entries of A^2 are nonnegative. II. The determinant of A^2 is nonnegative. III. If A has two distinct eigenvalues, then A^2 has two distinct eigenvalues.
• Which of the following circles has the greatest number of points of intersection with the parabola x^2 = y + 4 ?
• Suppose that f(1 + x) = f(x) for all real x. If f is a polynomial and f(5) = 11, then f(15/2)

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