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
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
Problem 1PE
Related questions
Question

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

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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