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a) If you spend 25% of the night on game theory, 50% on transformations of the plane, and 25% on matrix algebra, what score do you expect to get on the test? Is it possible to improve on this by altering your study schedule? If so, what is the highest score you can expect on the test? b)

a) If you spend 25% of the night on game theory, 50% on transformations of the plane, and 25% on matrix algebra, what score do you expect to get on the test? Is it possible to improve on this by altering your study schedule? If so, what is the highest score you can expect on the test? b)

Linear Algebra: A Modern Introduction
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
Problem 21EQ: Students frequently perform the following type of calculation to introduce a zero into a matrix:...
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Answer part a and b please. Please don't reject this question!!!

Task 2: Study Techniques Imagine that your mathematics test is tomorrow, and will cover the following topics: game theory, transformations of the plane, and matrix algebra. You have decided to do an "all-nighter" and must determine how to allocate your eight hours of study time among the three topics. If you were to spend the entire eight hours on any one of these topics (thus using a pure strategy) you feel confident that you would earm a 90% score on that portion of the test, but would not do so well on the other topics. You have come up with the following table, where the entries are your expected scores. (The fact that transformations of the plane and matrix algebra are used in game theory is reflected in these numbers). Test Transformations of the Your strategies Game theory Matrix algebra plane Game theory 90 70 70 Transformations of the 40 90 40 plane Matrix algebra 60 40 90 You have been told that the test will be weighted as follows: game theory: 25%; transformations of the plane: 50%; matrix algebra: 25%. a) If you spend 25% of the night on game theory, 50% on transformations of the plane, and 25% on matrix algebra, what score do you expect to get on the test? Is it possible to improve on this by altering your study schedule? If so, what is the highest score you can expect on the test? b) c) If your study schedule is according to part (a) and your teacher decides to forget his promises about how the test will be weighted and instead bases it all on a single topic, which topic would be worst for you, and what score could you expect on the test?
Transcribed Image Text:Task 2: Study Techniques Imagine that your mathematics test is tomorrow, and will cover the following topics: game theory, transformations of the plane, and matrix algebra. You have decided to do an "all-nighter" and must determine how to allocate your eight hours of study time among the three topics. If you were to spend the entire eight hours on any one of these topics (thus using a pure strategy) you feel confident that you would earm a 90% score on that portion of the test, but would not do so well on the other topics. You have come up with the following table, where the entries are your expected scores. (The fact that transformations of the plane and matrix algebra are used in game theory is reflected in these numbers). Test Transformations of the Your strategies Game theory Matrix algebra plane Game theory 90 70 70 Transformations of the 40 90 40 plane Matrix algebra 60 40 90 You have been told that the test will be weighted as follows: game theory: 25%; transformations of the plane: 50%; matrix algebra: 25%. a) If you spend 25% of the night on game theory, 50% on transformations of the plane, and 25% on matrix algebra, what score do you expect to get on the test? Is it possible to improve on this by altering your study schedule? If so, what is the highest score you can expect on the test? b) c) If your study schedule is according to part (a) and your teacher decides to forget his promises about how the test will be weighted and instead bases it all on a single topic, which topic would be worst for you, and what score could you expect on the test?
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