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

Access detailed explanations (illustrated with images and videos) to **148** questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. *Unlimited Access, Unlimited Time, on Unlimited Devices*!

View Sample Explanation or View Features.

Rs. 150.00 -OR-

How to register? Already Subscribed?

## 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. |