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BARC Nuclear Engineering Mathematics Quiz -1

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Question 1

What is the probability that divisor of 1099 is a multiple of 1096?

Question 2

If the characteristics polynomial of matrix M over R (the set of real numbers) is and one eigenvalue of M is 2, then the largest among the absolute values of the eigenvalues of M is _____.

Question 3

Let A be the 2 × 2 matrix with elements a11 = a12 = a21 = +1 and a22 = −1. Then the eigenvalues of the matrix A19 are

Question 4

Let f (x) be a polynomial and g(x) = f (x) be its derivative. If the degree of (f(x) + f(−x)) is 10, then the degree of (g(x) − g(−x)) is ______________

Question 5

The bisection method is applied to compute a zero of the function f(x) = x4 – x3 – x2 – 4 in the interval [1,9]. The method converges to a solution after _______________ iterations.

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Nov 16GATE & PSU CS