As a vaccine scientist, you are required to test your newly developed vaccine in two (2) different populations, populations Xand Y to ensure the safety and effectiveness of the vaccine. There are 3190 subjects from database X and 6094 subjects from database Therefore, you must select a number of subjects from populations X and Y to form a group. The newly formed of group must consist of subjects from both populations without repetition. The maximum number of groups which can be formed is denoted as d.   Use Euclidean algorithm to find d= GCD(X, Y). Find the integers s and tsuch that d = sX + tY With the answer obtained from a, what is the ratio of subjects selected from population Xand Y, PX : PY. Find Least Common Multiple for Xand Y, LCM(X, Y).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
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As a vaccine scientist, you are required to test your newly developed vaccine in two (2) different populations, populations Xand Y to ensure the safety and effectiveness of the vaccine. There are 3190 subjects from database X and 6094 subjects from database Therefore, you must select a number of subjects from populations X and Y to form a group. The newly formed of group must consist of subjects from both populations without repetition. The maximum number of groups which can be formed is denoted as d.

 

  1. Use Euclidean algorithm to find d= GCD(X, Y).
  2. Find the integers s and tsuch that d = sX + tY
  3. With the answer obtained from a, what is the ratio of subjects selected from population Xand Y, PX : PY.
  4. Find Least Common Multiple for Xand Y, LCM(X, Y).
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