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# GATE 2021 : Engineering Mathematics Rapid Quiz 1 (App update required to attempt this test)

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Question 1

M is a 2 × 2 matrix with eigenvalues 4 and 9. The eigenvalues of M2 are

Question 2

Given two functions  Find the convolution z(t) of x(t) and y(t)

Question 3

Which of the following option is correct for moment generating function for Normal distribution function defined as ?

Question 4

The vector function represented by F = ax(5y – k1z) + ay (3z + k2x) + az (k3y – 4x) represents a conservative field, where ax, ay & az represents unit vectors along the x, y, & z-axis respectively. Find the values of k1, k2 & k3 = ?

Question 5

A pair of dice is thrown twice, then find the probability of scoring 6 (sum of two dice) at least once.

Question 6

Given two complex numbers, z1 = 5 + (5√3)i and z2 = 6 + (2√3)i, then argument of (in degrees) is
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