GATE (Graduate Aptitude Test in Engineering) Electrical Engineering: Questions 59 - 63 of 148

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Question 59

Appeared in Year: 2012

Question

MCQ▾

The state variable description of an LTI system is given by

where is the output and is the input. The system is controllable for

Choices

Choice (4)Response

a.

b.

c.

d.

Question 60

Appeared in Year: 2019

Question

MCQ▾

M is a matrix with Eigen values 4 and 9. The Eigen values of are

Choices

Choice (4)Response

a.

and

b.

4 and 9

c.

16 and 81

d.

2 and 3

Question 61

Appeared in Year: 2019

Question

MCQ▾

Consider a 2 × 2 matrix , where and are the column vectors. Suppose , where and are the row vectors. Consider the following statements:

Statement 1: and

Statement 2: and

Which of the following options is correct?

Choices

Choice (4)Response

a.

Statement 1 is true and statement 2 is false

b.

Both the statements are false

c.

Both the statements are true

d.

Statement 2 is true and statement 1 is false

Question 62

Appeared in Year: 2013

Question

MCQ▾

The Bode plot of a transfer function is shown in the figure below.

Calculation of Transfer Function

The gain () is 32 dB and – 8 dB at 1 rad/s and 10 rad/s respectively. The phase is Negative for all . Then is

Choices

Choice (4)Response

a.

b.

c.

d.

Question 63

Appeared in Year: 2013

Question

MCQ▾

The impulse response of a system is . For an input , the output is

Choices

Choice (4)Response

a.

b.

c.

d.

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