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Get Full Access to Elementary Linear Algebra With Applications - 9 Edition - Chapter 4.5 - Problem 21
Get Full Access to Elementary Linear Algebra With Applications - 9 Edition - Chapter 4.5 - Problem 21

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# Suppose that S = (VI. '0' 2. '0'3) is a linearly independent set of vectors in a vector ISBN: 9780132296540 301

## Solution for problem 21 Chapter 4.5

Elementary Linear Algebra with Applications | 9th Edition

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Problem 21

Suppose that S = (VI. '0' 2. '0'3) is a linearly independent set of vectors in a vector space V. Is T = (WI. W2. w)l. where WI = VI + '0'2. W, = '0'1+ '0'). W) = v,+vJ.linearly dependent or linearly independent? Justify your answer.

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Ch. 3 ➔ Appropriate measures depend on the shape ◆ Symmetric: mean and standard deviation ◆ Skewed: median and interquartile range ➔ The mean: The average ◆ Literally the balancing point ◆ For a symmetric distribution, the mean is at the center and close to typical values ◆ Also balances skewed graphs ● Doesn’t tell us the typical value ● Right skewed, the average is to the right of the typical values and vice versa ➔ Standard Deviation: number that measures how far away a typical observation is from the mean ◆ Typical distance ◆ Larger variance = larger standard deviation ◆ Larger standard deviation: more values farther from the mean ➔ Empirical rule and z­scores ◆ Empirical rule: if a distribution is unimodal and symmetric then 68% fall into 1 standard deviation, 95% fall into 2 standard deviations, and 99.7% (or almost all) fall into 3 standard deviations ● Anything outside of two standard deviations is unusual ◆ Z­score is the number of standard deviations a data value is from the mean ● Standard units

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##### ISBN: 9780132296540

The full step-by-step solution to problem: 21 from chapter: 4.5 was answered by , our top Math solution expert on 01/30/18, 04:18PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 57 chapters, and 1519 solutions. Since the solution to 21 from 4.5 chapter was answered, more than 248 students have viewed the full step-by-step answer. The answer to “Suppose that S = (VI. '0' 2. '0'3) is a linearly independent set of vectors in a vector space V. Is T = (WI. W2. w)l. where WI = VI + '0'2. W, = '0'1+ '0'). W) = v,+vJ.linearly dependent or linearly independent? Justify your answer.” is broken down into a number of easy to follow steps, and 46 words. Elementary Linear Algebra with Applications was written by and is associated to the ISBN: 9780132296540. This textbook survival guide was created for the textbook: Elementary Linear Algebra with Applications, edition: 9.

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