GATE EC 2016 Question Paper (30-Jan-2016) (Shift 1)

Let M⁴ = I, (where I denotes the identity matrix) and M ≠ I, M² ≠ I and M³ ≠ I. Then, for any natural number k, M⁻¹ equals:

The second moment of a Poisson-distributed random variable is 2. The mean of the random variable is _______.

Given the following statements about a function f: R → R, select the right option:

P: If f(x) is continuous at x = x₀, then it is also differentiable at x = x0.

Q: If f(x) is continuous at x = x0, then it may not be differentiable at x = x0.

R: If f(x) is differentiable at x = x0, then it is also continuous at x = x0.

Which one of the following is a property of the solutions to the Laplace equation: ∇ ²𝑓 = 0?

Consider the plot of f(x) versus x as shown below.



Suppose $F\left(x\right)=\underset{-5}{\overset{x}{\int }}f\left(y\right)dy$. Which one of the following is a graph of F(x)?