Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Assume that multiplying a matrix G1of dimensi... Start Learning for Free
Assume that multiplying a matrix G1 of dimension p×q with another matrix G2 of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3 ..... Gn can be done by parenthesizing in different ways. Define GiGi+1 as an explicitly computed pair for a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6 using parenthesization (G1(G2G3))(G4(G5G6)), G2G3 and G5G6 are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4 and F5 are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5 that minimizes the total number of scalar multiplications, the explicitly computed pairs is/are
  • a)
    F1F2 and F3F4 only
  • b)
    F2F3 only
  • c)
    F3F4 only
  • d)
    F1F2 and F4F5 only
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Assume that multiplying a matrix G1of dimension p×q with another...
Matrix F5 is of dimension 1 X 1000, which is going to cause very much multiplication cost. So evaluating F5 at last is optimal. Total number of scalar multiplications are 48 + 75 + 50 + 2000 = 2173 and optimal parenthesis is ((F1(F2(F3 F4)))F5). As concluded, F3, F4 are explicitly computed pairs. Option (C) is Correct.
View all questions of this test
Most Upvoted Answer
Assume that multiplying a matrix G1of dimension p×q with another...
By a matrix G2 of dimension q yields a matrix G3 of dimension r.

The dimensions of the matrices G1, G2, and G3 can be related by the equation:

p x q = p x r

This equation states that the number of columns in G1 (q) must be equal to the number of rows in G2 (p) in order for matrix multiplication to be defined. The resulting matrix G3 will have dimensions p x r, where p is the number of rows of G1 and r is the number of columns of G2.
Explore Courses for Computer Science Engineering (CSE) exam

Similar Computer Science Engineering (CSE) Doubts

Top Courses for Computer Science Engineering (CSE)

Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. Can you explain this answer?
Question Description
Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 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 Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. 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 Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Assume that multiplying a matrix G1of dimension p×q with another matrix G2of dimension q×r requires pqr scalar multiplications. Computing the product of n matrices G1G2G3..... Gncan be done by parenthesizing in different ways. Define GiGi+1as anexplicitly computed pairfor a given paranthesization if they are directly multiplied. For example, in the matrix multiplication chain G1G2G3G4G5G6using parenthesization (G1(G2G3))(G4(G5G6)), G2G3and G5G6are only explicitly computed pairs. Consider a matrix multiplication chain F1F2F3F4F5, where matrices F1,F2,F3,F4and F5are of dimensions 2×25,25×3,3×16,16×1 and 1×1000, respectively. In the parenthesization of F1F2F3F4F5that minimizes the total number of scalar multiplications, the explicitly computed pairs is/area)F1F2and F3F4onlyb)F2F3onlyc)F3F4onlyd)F1F2and F4F5onlyCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev