Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Which of the following expressions accesses t...
Start Learning for Free
Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?
- a)n x (i - 1) + j
- b)m x (j - 1) + i
- c)m x (n - j) + j
- d)n x (m - i) + j
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following expressions accesses the (i, j)th entry of a (m...
(i, j) entries in column major order of size (m x n).
Assume starting address is 1 so, m x (j - 1) + i
Assume starting address is 1 so, m x (j - 1) + i
Most Upvoted Answer
Which of the following expressions accesses the (i, j)th entry of a (m...
Explanation:
In column major form, the elements of a matrix are stored column-wise. This means that elements of each column are stored consecutively in memory.
To access the (i, j)th entry of a (m x n) matrix stored in column major form, we need to calculate the correct index in the memory.
Let's consider a (3 x 4) matrix as an example:
| a11 | a21 | a31 |
|-----|-----|-----|
| a12 | a22 | a32 |
| a13 | a23 | a33 |
| a14 | a24 | a34 |
The elements are stored column-wise in memory as follows:
[a11, a12, a13, a14, a21, a22, a23, a24, a31, a32, a33, a34]
To calculate the index:
- The number of columns in the matrix is n.
- The number of elements in each column is m.
So, to access the (i, j)th entry, we need to calculate the index as:
index = (j-1) * m + (i-1)
Explanation of the expressions:
- Option a) n x (i-1) + j: This expression calculates the index in row major form, not column major form.
- Option b) m x (j-1) + i: This expression correctly calculates the index in column major form.
- Option c) m x (n-j) + i: This expression calculates the index in row major form, not column major form.
- Option d) n x (m-i) + j: This expression calculates the index in row major form, not column major form.
Therefore, the correct expression to access the (i, j)th entry of a (m x n) matrix stored in column major form is m x (j-1) + i.
In column major form, the elements of a matrix are stored column-wise. This means that elements of each column are stored consecutively in memory.
To access the (i, j)th entry of a (m x n) matrix stored in column major form, we need to calculate the correct index in the memory.
Let's consider a (3 x 4) matrix as an example:
| a11 | a21 | a31 |
|-----|-----|-----|
| a12 | a22 | a32 |
| a13 | a23 | a33 |
| a14 | a24 | a34 |
The elements are stored column-wise in memory as follows:
[a11, a12, a13, a14, a21, a22, a23, a24, a31, a32, a33, a34]
To calculate the index:
- The number of columns in the matrix is n.
- The number of elements in each column is m.
So, to access the (i, j)th entry, we need to calculate the index as:
index = (j-1) * m + (i-1)
Explanation of the expressions:
- Option a) n x (i-1) + j: This expression calculates the index in row major form, not column major form.
- Option b) m x (j-1) + i: This expression correctly calculates the index in column major form.
- Option c) m x (n-j) + i: This expression calculates the index in row major form, not column major form.
- Option d) n x (m-i) + j: This expression calculates the index in row major form, not column major form.
Therefore, the correct expression to access the (i, j)th entry of a (m x n) matrix stored in column major form is m x (j-1) + i.
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Top Courses for Computer Science Engineering (CSE)View all
Question Description
Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer?.
Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Which of the following expressions accesses the (i, j)th entry of a (m x n) matrix stored in column major form?a)n x (i- 1) + jb)m x (j- 1) + ic)m x (n - j) + jd)n x (m - i) + jCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup