GATE ECE 2004 | GATE ECE Year Wise Previous Years Questions

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GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

Given A $$ = \left[ {\matrix{ 1 & 0 \cr 0 & 1 \cr } } \right],$$ the state transition matrix e^At is given by

$$\left[ {\matrix{ 0 & {{e^{ - t}}} \cr {{0^{ - t}}} & 0 \cr } } \right]$$

$$\left[ {\matrix{ {{e^t}} & 0 \cr 0 & {{e^t}} \cr } } \right]$$

$$\left[ {\matrix{ {{e^{ - t}}} & 0 \cr 0 & {{e^{ - t}}} \cr } } \right]$$

$$\left[ {\matrix{ 0 & {{e^t}} \cr {{e^t}} & 0 \cr } } \right]$$

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

The state variable equations of a system are: $$${\mathop {{x_1} = - 3{x_1} - x}\limits^ \bullet _2} + u$$$ $$${\mathop x\limits^ \bullet _2} = 2{x_1}$$$ $$$y = {x_1} + u.$$$
The system is

controllable but not observable.

observable but not controllable.

neither controllable nor observable.

controllable and observable.

GATE ECE 2004

MCQ (Single Correct Answer)

-0.6

A system has poles at 0.01 Hz, 1Hz and 80 Hz; zeroes at 5hz, 100 Hz and 200 Hz. The approximate phase of the system response at 20 Hz is

$$ - {90^0}$$

$$ {0^0}$$

$$ {90^0}$$

$$ {-180^0}$$

GATE ECE 2004

MCQ (Single Correct Answer)

-0.3

Figure shows the internal schematic of a TTL AND-OR-Invert (AOI) gate. For the inputs shown in Figure, the output Y is GATE ECE 2004 Digital Circuits - Logic Families Question 13 English

GATE ECE 2004 Digital Circuits - Logic Families Question 13 English

$$\overline {AB} $$

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