GATE: Engineering mathematics

Question 1 of 10

What are the eigenvalues of the matrix [[2, 0], [0, 3]]?

Question 2 of 10

What is the determinant of [[1, 2], [3, 4]]?

Question 3 of 10

A 3 × 3 matrix whose three rows are all equal and non-zero has rank:

Question 4 of 10

Two fair dice are rolled. What is the probability that the sum is 7?

Question 5 of 10

Two fair coins are tossed. What is the probability of at least one head?

Question 6 of 10

What is the expected value of a roll of a fair six-sided die?

Question 7 of 10

The variance of a Bernoulli random variable with success probability p is:

Question 8 of 10

What is lim (x → 0) of sin(x) / x?

Question 9 of 10

What is the derivative of x² at x = 3?

Question 10 of 10

The sum of a square matrix's eigenvalues equals its: