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-9-3 6 For the following matrix 4A = (18 (a) Calculate the determinant of the matrix pl - A. This is the characteristic polynomial of A. In this question, the parameter is p. Usually, in lectures, the parameter is X. Note that you are asked for the polynomial, not for the equation. ab √a a π sin (a) b (b) List the eigenvalues in increasing order. These are the roots of the characteristic polynomial. Include any which are repeated. For example, if the characteristic polynomial is p2 + 2p+1 then the eigenvalues are -1,-1, if it is p² - 1 then they are -1,1

-9-3 6 For the following matrix 4A = (18 (a) Calculate the determinant of the matrix pl - A. This is the characteristic polynomial of A. In this question, the parameter is p. Usually, in lectures, the parameter is X. Note that you are asked for the polynomial, not for the equation. ab √a a π sin (a) b (b) List the eigenvalues in increasing order. These are the roots of the characteristic polynomial. Include any which are repeated. For example, if the characteristic polynomial is p2 + 2p+1 then the eigenvalues are -1,-1, if it is p² - 1 then they are -1,1

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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-9-3 For the following matrix 4 = (8³) 18 6 (a) Calculate the determinant of the matrix pI- A. This is the characteristic polynomial of A. In this question, the parameter is p. Usually, in lectures, the parameter is X. Note that you are asked for the polynomial, not for the equation. sin (a) b √a |a| k (b) List the eigenvalues in increasing order. These are the roots of the characteristic polynomial. Include any which are repeated. For example, if the characteristic polynomial is p² + 2p+1 then the eigenvalues are -1,-1, if it is p² - 1 then they are -1,1
Transcribed Image Text:-9-3 For the following matrix 4 = (8³) 18 6 (a) Calculate the determinant of the matrix pI- A. This is the characteristic polynomial of A. In this question, the parameter is p. Usually, in lectures, the parameter is X. Note that you are asked for the polynomial, not for the equation. sin (a) b √a |a| k (b) List the eigenvalues in increasing order. These are the roots of the characteristic polynomial. Include any which are repeated. For example, if the characteristic polynomial is p² + 2p+1 then the eigenvalues are -1,-1, if it is p² - 1 then they are -1,1
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