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# The least squares estimate correctly weighted by !:. -1 is x = (AT!:. -1 A) -1 AT!:. -1 ISBN: 9780980232714 166

## Solution for problem 8 Chapter 8.6

Introduction to Linear Algebra | 4th Edition

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Problem 8

The least squares estimate correctly weighted by !:. -1 is x = (AT!:. -1 A) -1 AT!:. -1 b. Call that x = Lb. If b contains an error vector e , then x contains the error Le. The covariance matrix of those output errors Le is their expected value (average value) P = E [(Le)(Le)T] = LE [eeT] LT = L!:.LT. Problem: Do the multiplication L!:.LT to show that P equals (AT!:.-l A)-I as predicted in equation (10).

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L11 - 13 We c∞n modify our shortcut method for an indeterminate limit : ∞ x ex. Evaluatex→−∞m 2x −√ 4x − x x (formal method) = lim ▯ x→−∞ 2x...

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##### ISBN: 9780980232714

This textbook survival guide was created for the textbook: Introduction to Linear Algebra, edition: 4. Since the solution to 8 from 8.6 chapter was answered, more than 217 students have viewed the full step-by-step answer. Introduction to Linear Algebra was written by and is associated to the ISBN: 9780980232714. This full solution covers the following key subjects: . This expansive textbook survival guide covers 46 chapters, and 1285 solutions. The full step-by-step solution to problem: 8 from chapter: 8.6 was answered by , our top Math solution expert on 12/23/17, 03:25AM. The answer to “The least squares estimate correctly weighted by !:. -1 is x = (AT!:. -1 A) -1 AT!:. -1 b. Call that x = Lb. If b contains an error vector e , then x contains the error Le. The covariance matrix of those output errors Le is their expected value (average value) P = E [(Le)(Le)T] = LE [eeT] LT = L!:.LT. Problem: Do the multiplication L!:.LT to show that P equals (AT!:.-l A)-I as predicted in equation (10).” is broken down into a number of easy to follow steps, and 79 words.

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