only need help on parts d-e 3. Suppose that the characteristic polynomial of a square matrix A isfA(A) = –X³ + 3A(a)What is the size of A?(b)What are the eigenvalues of A?(c)What is tr(A)?(d)Is A invertible? Why or why not?Is A diagonalizable? If so, determine a diagonal matrix that is similar to A.(e)If not, explain why not.

Answered: Image /qna-images/answer/bc5b00af-9c5b-4407-88b0-b6a044e3c05e.jpg

Answered: only need help on parts d-e

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Please do the following questions with full handwritten working out. The answer is in the image
Please help on parts a through e! Thank you!
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Fifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Correlation Results Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of a =0.05. Correlation coeff, r: 0.966175 Critical r: ±0.2680855 P-value (two tailed): 0.000 Determine the null and alternative hypotheses. H1: p (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at r= O B. There are two critical values at r= + Is there sufficient evidence to support the claim…
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7.1.5 Please answer clearly

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