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Multiply the following two matrices using Strassen's Multiplication (A*B). If you just show the steps without the computations you get 4 points; If you make errors in calculation you get 4 to 9 points. A= 5 2 2 3 B= 5 3

Multiply the following two matrices using Strassen's Multiplication (A*B). If you just show the steps without the computations you get 4 points; If you make errors in calculation you get 4 to 9 points. A= 5 2 2 3 B= 5 3

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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3. Divide and Conquer (a) Multiply the following two matrices using Strassen's Multiplication (A*B). If you just show the steps without the computations you get 4 points; If you make errors in calculation you get 4 to 9 points. A= 5 2 B= [1 1 5 3 (b) Give three examples of recursion that cannot be solved using the Mas- ters theorem formulas, and explain why they cannot be solved. Solve the recursion for any one of them (c) Develop a divide and conquer algorithm to find the most frequently oc- curing number (mode) in a set of integers. Give the steps and compute the complexity of your methods
Transcribed Image Text:3. Divide and Conquer (a) Multiply the following two matrices using Strassen's Multiplication (A*B). If you just show the steps without the computations you get 4 points; If you make errors in calculation you get 4 to 9 points. A= 5 2 B= [1 1 5 3 (b) Give three examples of recursion that cannot be solved using the Mas- ters theorem formulas, and explain why they cannot be solved. Solve the recursion for any one of them (c) Develop a divide and conquer algorithm to find the most frequently oc- curing number (mode) in a set of integers. Give the steps and compute the complexity of your methods
Dynamic Programming (a) Find the grouping of the matrices that will minimize the number of operations to compute A1*A2*A3*A4. The sizes of the matrices are as follows; A1=2x1; A2=1x5; A3=5x2; A4=2x2 If you just show the steps without the computations you get 4 points; If you make errors in calculation you get 4 to 9 points. Completely correct answer is 10 points. (b) For the problems given below, determine whether it is more efficient to use a divide and conquer strategy or a dynamic programming strategy. 4. Give the recursion formula for each. Find the average of a given set of unsorted numbers. Find whether there is a subset of integers in a given set that adds i. ii. upto 8 Given a set of numbers, can they set be partitioned into two groups such that the sum of each group is equal; i.e 1,5,11,5 can be partitioned to 1,5,5 and 11 111. (c) State the difference between divide and conquer and dynamic pro- gramming.
Transcribed Image Text:Dynamic Programming (a) Find the grouping of the matrices that will minimize the number of operations to compute A1*A2*A3*A4. The sizes of the matrices are as follows; A1=2x1; A2=1x5; A3=5x2; A4=2x2 If you just show the steps without the computations you get 4 points; If you make errors in calculation you get 4 to 9 points. Completely correct answer is 10 points. (b) For the problems given below, determine whether it is more efficient to use a divide and conquer strategy or a dynamic programming strategy. 4. Give the recursion formula for each. Find the average of a given set of unsorted numbers. Find whether there is a subset of integers in a given set that adds i. ii. upto 8 Given a set of numbers, can they set be partitioned into two groups such that the sum of each group is equal; i.e 1,5,11,5 can be partitioned to 1,5,5 and 11 111. (c) State the difference between divide and conquer and dynamic pro- gramming.
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