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Let A be a square matrix. a. Prove that AetA = etAA. b. Prove that (eA) 1 = e A. (Hint

ISBN: 9781429215213 438

Solution for problem 13 Chapter 7.3

Linear Algebra: A Geometric Approach | 2nd Edition

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Problem 13

Let A be a square matrix. a. Prove that AetA = etAA. b. Prove that (eA) 1 = e A. (Hint: Differentiate the product etAe tA.) c. Prove that if A is skew-symmetric (i.e., AT = A), then eA is an orthogonal matrix.

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Bios6601 Homework #2 Instructions: The purpose of this homework is to use the skills we have developed for summarizing proportions and survival data to make descriptive graphs of a dataset and construct a “table 1” of the descriptive statistics. In addition you will write a summary paragraph describing the descriptive statistics. The dataset we will investigate is a modification of the...

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