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Find the roots of the AR and MA polynomials for the ARMA Xt = −.25Xt−1 − 0.75Xt−2 + et + 2et−1.

Find the roots of the AR and MA polynomials for the ARMA Xt = −.25Xt−1 − 0.75Xt−2 + et + 2et−1.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please check my work for the following question (my answer is in the image it would not let me paste it). When I check using technology my answer is wrong. The correct is the answer is -0.166667+1.142609i -0.166667-1.142609i. Please show me the step I miscalculated. 

Find the roots of the AR and MA polynomials for the ARMA

                         Xt = −.25Xt−1 − 0.75Xt−2 + et + 2et−1.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

**ISBN Validation Algorithm** The International Standard Book Number (ISBN) is a unique identifier assigned to books worldwide. It comprises 10 digits, calculated using a specific algorithm. Proper calculation of an ISBN involves both arithmetic and a checksum validation process. The following outlines the procedure to verify or compute the last digit of an ISBN, known as the "check digit." 1. **Multiply the first digit by 10.** 2. **Multiply the second digit by 9.** 3. **Continue multiplying each subsequent digit by one less than the previous multiplier down to the ninth digit.** (e.g., third digit by 8, fourth digit by 7, and so forth). 4. **Sum all these products to get a total sum.** 5. **Compute the modulo 11 of this sum.** 6. **Subtract the result from 11 to ascertain the check digit.** Note: In case the result equals 10, denote 'X' as the check digit instead of a numeric value. Example: Consider the following ISBN - 0205080057. Verification Process: - Compute (0 x 10) + (2 x 9) + (0 x 8) + (5 x 7) + (0 x 6) + (8 x 5) + (0 x 4) + (0 x 3) + (5 x 2) = 130. - Calculate 130 modulo 11, which renders a remainder of 9. - Subtract the remainder from 11, thereby obtaining 2. Concluded check digit for the given sequence: **7**. The check digit for the ISBN is thus valid, ensuring correctness in the sequence provided.
Transcribed Image Text:**ISBN Validation Algorithm** The International Standard Book Number (ISBN) is a unique identifier assigned to books worldwide. It comprises 10 digits, calculated using a specific algorithm. Proper calculation of an ISBN involves both arithmetic and a checksum validation process. The following outlines the procedure to verify or compute the last digit of an ISBN, known as the "check digit." 1. **Multiply the first digit by 10.** 2. **Multiply the second digit by 9.** 3. **Continue multiplying each subsequent digit by one less than the previous multiplier down to the ninth digit.** (e.g., third digit by 8, fourth digit by 7, and so forth). 4. **Sum all these products to get a total sum.** 5. **Compute the modulo 11 of this sum.** 6. **Subtract the result from 11 to ascertain the check digit.** Note: In case the result equals 10, denote 'X' as the check digit instead of a numeric value. Example: Consider the following ISBN - 0205080057. Verification Process: - Compute (0 x 10) + (2 x 9) + (0 x 8) + (5 x 7) + (0 x 6) + (8 x 5) + (0 x 4) + (0 x 3) + (5 x 2) = 130. - Calculate 130 modulo 11, which renders a remainder of 9. - Subtract the remainder from 11, thereby obtaining 2. Concluded check digit for the given sequence: **7**. The check digit for the ISBN is thus valid, ensuring correctness in the sequence provided.
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