# Linear Algebra [GATE (Graduate Aptitude Test in Engineering) Computer Science]: Questions 1 - 4 of 5

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## Question 1

Appeared in Year: *2015*

### Question MCQ▾

The end points of a given line are (0,0) and (6,18) . Compute each value of y as x steps from 0 to 3, by using equation of straight line: (December)

### Choices

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

a. | For x = 0, y = 2; x = 1, y = 3; x = 2, y = 6; x = 3, y = 9 | |

b. | For x = 0, y = 1; x = 1, y = 3; x = 2, y = 4; x = 3, y = 9 | |

c. | For x = 0, y = 0; x = 1, y = 3; x = 2, y = 4; x = 3, y = 6 | |

d. | For x = 0, y = 0; x = 1, y = 3; x = 2, y = 6; x = 3, y = 9 |

## Question 2

Appeared in Year: *2015*

### Question MCQ▾

In the LU decomposition of the matrix , if the diagonal elements of U are both 1, then the lower diagonal entry of L is

### Choices

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

a. | 6 | |

b. | 5 | |

c. | 7 | |

d. | 4 |

## Question 3

Appeared in Year: *2015*

### Question MCQ▾

Consider the following matrix A here two elements are unknown and are marked by a and b. The eigen values of this matrix are and 7. What are the values of a and b?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 4

Appeared in Year: *2020*

### Question MCQ▾

M Let A and B be two matrices over real numbers. Let rank (M) and det (M) denote the rank and determinant of a matrix M, respectively. Consider the following statements.

Which of the above statements are TRUE?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |