# Engineering Mathematics-Linear Algebra [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 1 - 8 of 20

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## Question 1

Appeared in Year: *2010*

### Question MCQ▾

Given f (t) = L^{-1} . If , then the value of k is

### Choices

Choice (4) | Response | |
---|---|---|

a. | 3 | |

b. | 4 | |

c. | 1 | |

d. | 2 |

## Question 2

Appeared in Year: *2010*

### Question MCQ▾

The Eigen values of a skew-symmetric matrix are (One Mark)

### Choices

Choice (4) | Response | |
---|---|---|

a. | Always pure imaginary | |

b. | Either zero or pure imaginary | |

c. | Always zero | |

d. | Always real |

## Question 3

Appeared in Year: *2015*

### Question Numeric Answer▾

Consider a system of linear equations:

The value of k for which the system has infinitely many solutions is …

Edit## Question 4

Appeared in Year: *2016*

### Question MCQ▾

Consider a square matrix

,

Where x is unknown. If the eigenvalues of the matrix A are and , then is equal to

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |

## Question 5

## Question 6

## Question 7

Appeared in Year: *2019*

### Question Numeric Answer▾

The number of distinct Eigen values of the matrix A = is equal to ________. (Carry One Mark Each)

Edit## Question 8

Appeared in Year: *2016*

### Question MCQ▾

Let (where I denote the identity matrix) and , , . Then for any natural number k, equals:

### Choices

Choice (4) | Response | |
---|---|---|

a. | ||

b. | ||

c. | ||

d. |