# 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.

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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