1
GATE CSE 2024 Set 2
MCQ (More than One Correct Answer)
+2
-0

Let A be an n × n matrix over the set of all real numbers ℝ. Let B be a matrix obtained from A by swapping two rows. Which of the following statements is/are TRUE?

A

The determinant of B is the negative of the determinant of A

B

If A is invertible, then B is also invertible

C

If A is symmetric, then B is also symmetric

D

If the trace of A is zero, then the trace of B is also zero

2
GATE CSE 2024 Set 2
Numerical
+2
-0

The chromatic number of a graph is the minimum number of colours used in a proper colouring of the graph. The chromatic number of the following graph is ________

GATE CSE 2024 Set 2 Discrete Mathematics - Graph Theory Question 2 English

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3
GATE CSE 2024 Set 2
Numerical
+2
-0

Let Zn be the group of integers {0, 1, 2, ..., n − 1} with addition modulo n as the group operation. The number of elements in the group Z2 × Z3 × Z4 that are their own inverses is __________.

Your input ____
4
GATE CSE 2024 Set 2
MCQ (More than One Correct Answer)
+1
-0

Which of the following tasks is/are the responsibility/responsibilities of the memory management unit (MMU) in a system with paging-based memory management?

A

Allocate a new page table for a newly created process

B

Translate a virtual address to a physical address using the page table

C

Raise a trap when a virtual address is not found in the page table

D

Raise a trap when a process tries to write to a page marked with read-only permission in the page table

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