GATE EE 2016 Question Paper (06-Feb-2016) (Shift 2)

Candidates were asked to come to an interview with 3 pens each. Black, blue, green and red were the permitted pen colors that the candidate could bring. The probability that a candidate comes with all 3 pens having the same colour is _____.

Let $S=\sum _{n=0}^{\infty }n{\alpha }^n$ where $\left|\alpha \right|<1$. the value of $\alpha$ in the range $0<\alpha <1$, such that $S=2\alpha$ is _______.

Let the eigenvalues of a 2 × 2 matrix A be 1, -2 with eigenvectors x₁ and x₂ respectively. Then the eigenvalues and eigenvectors of the matrix A³ would, respectively, be

Let $A$ be a $4\times 3$ real matrix with rank 2. Which one of the following statement is TRUE?

Consider the following asymptotic Bode magnitude plot ( $\omega$ is in rad/s).



Which one of the following transfer functions is best represented by the above Bode magnitude plot?