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

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

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

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

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

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