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Numerical experimcnts in software celli/WI be used to verify that a set V wilh tWO

Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill ISBN: 9780132296540 301

Solution for problem 40 Chapter 4.3

Elementary Linear Algebra with Applications | 9th Edition

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Elementary Linear Algebra with Applications | 9th Edition | ISBN: 9780132296540 | Authors: Bernard Kolman David Hill

Elementary Linear Algebra with Applications | 9th Edition

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Problem 40

Numerical experimcnts in software celli/WI be used to verify that a set V wilh tWO operations Ell and 0 is a veclOr space or a sub!;pace. Such a verification must bedone "abstractly" to take into account all possibilities for elements of V . Howcver. numerical experiments can yield counterexamples which show that V is not a vector ace or not a subspace. Use your software to verify that each of the following is 110' a subspace of M n. with the usual operations of addition of matrices and scalar multiplication:(a ) The SCt of symmetric matrices wi,h the ( I. I) entryequ:ll to 3(b) The scI of mal ri ces whose first column is [0 I ] T(c) The scI of matrices [: ~] such that lid - be I- 0

Step-by-Step Solution:

Step 1 of 5) A physical therapist wishes to learn whether an exercise program increases flexibility. She measures the flexibility (in inches) of 12 randomly selected subjects both before and after an intensive 8-week training program and obtains the data shown. Is the median flexibility before the exercise program less than the median flexibility after the exercise program Use the a = 0.05 level of significance. In Figure 11, we show the t-distribution for the sample sizes n = 5 and n = 15, along with the standard normal density curve. Determine t-Values Recall that the notation za is used to represent the z-score whose area under the normal curve to the right of za is a. Similarly let ta represent the t-value whose area under the t-distribution to the right of ta is a. See Figure 12. The shape of the t-distribution depends on the sample size, n. Therefore, the value of ta depends not only on a, but also on the degrees of freedom, n - 1. In Table VII in Appendix A, the far left column gives the degrees of freedom. The top row represents the area under the t-distribution to the right of some t-value.

Step 2 of 2

Chapter 4.3, Problem 40 is Solved
Textbook: Elementary Linear Algebra with Applications
Edition: 9
Author: Bernard Kolman David Hill
ISBN: 9780132296540

The full step-by-step solution to problem: 40 from chapter: 4.3 was answered by , our top Math solution expert on 01/30/18, 04:18PM. Since the solution to 40 from 4.3 chapter was answered, more than 238 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Linear Algebra with Applications, edition: 9. This full solution covers the following key subjects: . This expansive textbook survival guide covers 57 chapters, and 1519 solutions. The answer to “Numerical experimcnts in software celli/WI be used to verify that a set V wilh tWO operations Ell and 0 is a veclOr space or a sub!;pace. Such a verification must bedone "abstractly" to take into account all possibilities for elements of V . Howcver. numerical experiments can yield counterexamples which show that V is not a vector ace or not a subspace. Use your software to verify that each of the following is 110' a subspace of M n. with the usual operations of addition of matrices and scalar multiplication:(a ) The SCt of symmetric matrices wi,h the ( I. I) entryequ:ll to 3(b) The scI of mal ri ces whose first column is [0 I ] T(c) The scI of matrices [: ~] such that lid - be I- 0” is broken down into a number of easy to follow steps, and 131 words. Elementary Linear Algebra with Applications was written by and is associated to the ISBN: 9780132296540.

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