GATE EC 2026 Question Paper (15-Feb-2026) (Shift 1)

Consider the matrix $M=\left[\begin{array}{ccc}2& 1& 1\\ 1& 3& 0\\ -1& a& b\end{array}\right]$.
Which of the following options is/ are TRUE if $\det (M)\ne 0$?

A binary ripple counter is designed to count $(0{)}_{10}$ to $(64{)}_{10}$.
Which of the following is/are the number of flip-flops required to design the counter?

Which option(s) represents/ represent the dielectric loss tangent of a substrate?

Figure shows the output characteristics of two different Bipolar Junction Transistors (BJT), BJT 1 with magnitude of Early voltage $|V_{A1}|$, and BJT 2 with magnitude of Early voltage $|V_{A2}|$.
Which of the following options is/are correct regarding the Early voltages?

The output voltage $V_o$ (in Volt) for the network given in the Figure is __.
(rounded off to two decimal places)