Consider the diagonal matrix A = (a) State the characteristic polynomial of A. [Note: Use L in place of X.] The characteristic polynomial C₁(L) = (b) The trace of a matrix A is the sum of the entries in its main diagonal and is denoted by tr(A). If tr(A) = 14 and det(A) = 45, use this information and the result in part (a) to find: 8 i) Matrix A , where a < b are constants. ii) The eigenvalues of A: [Note: If there is more than one answer, separate them by commas. E.g. 1,2]
Consider the diagonal matrix A = (a) State the characteristic polynomial of A. [Note: Use L in place of X.] The characteristic polynomial C₁(L) = (b) The trace of a matrix A is the sum of the entries in its main diagonal and is denoted by tr(A). If tr(A) = 14 and det(A) = 45, use this information and the result in part (a) to find: 8 i) Matrix A , where a < b are constants. ii) The eigenvalues of A: [Note: If there is more than one answer, separate them by commas. E.g. 1,2]
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Consider the diagonal matrix A
i) Matrix A=
=
= [%]
(a) State the characteristic polynomial of A.
[Note: Use L in place of X.]
The characteristic polynomial CA(L) =
(b) The trace of a matrix A is the sum of the entries in its main diagonal and is denoted by tr(A).
If tr(A) = 14 and det(A) = 45, use this information and the result in part (a) to find:
E
3
ii) The eigenvalues of A:
where a < b are constants.
[Note: If there is more than one answer, separate them by commas. E.g. 1,2]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67fa20a1-7262-4df8-92e5-c46745f93cbc%2F9e6124f5-b898-4839-b3c0-ec0344dc452b%2Ft7b1lj_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the diagonal matrix A
i) Matrix A=
=
= [%]
(a) State the characteristic polynomial of A.
[Note: Use L in place of X.]
The characteristic polynomial CA(L) =
(b) The trace of a matrix A is the sum of the entries in its main diagonal and is denoted by tr(A).
If tr(A) = 14 and det(A) = 45, use this information and the result in part (a) to find:
E
3
ii) The eigenvalues of A:
where a < b are constants.
[Note: If there is more than one answer, separate them by commas. E.g. 1,2]
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