11. Let -4 А -4 -4 -3 -3 (a) (i) Show that -4 is an eigenvalue of A with corresponding eigenvector [1 1 o]". (ii) Given that [7 eigenvalue. -8 5]' is an eigenvector of A, find the corresponding (iii) Find the remaining eigenvalue of A and its coresponding unit eigenvector. (b) Find the inverse of A.
11. Let -4 А -4 -4 -3 -3 (a) (i) Show that -4 is an eigenvalue of A with corresponding eigenvector [1 1 o]". (ii) Given that [7 eigenvalue. -8 5]' is an eigenvector of A, find the corresponding (iii) Find the remaining eigenvalue of A and its coresponding unit eigenvector. (b) Find the inverse of A.
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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Question
![11. Let
-4
A =
-4
-4
3
-3
-3
(a) (i) Show that -4 is an eigenvalue of A with corresponding eigenvector
[1 1 o]".
(ii) Given that [7 -8 5]' is an eigenvector of A, find the corresponding
eigenvalue.
(iii) Find the remaining eigenvalue of A and its corresponding unit eigenvector.
(b) Find the inverse of A.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F14ebc4e0-ed89-4bec-bb3b-3de7d1b804aa%2Fce12641e-ddf6-4e6a-9dbc-0522680dc343%2Fj7qpnb_processed.png&w=3840&q=75)
Transcribed Image Text:11. Let
-4
A =
-4
-4
3
-3
-3
(a) (i) Show that -4 is an eigenvalue of A with corresponding eigenvector
[1 1 o]".
(ii) Given that [7 -8 5]' is an eigenvector of A, find the corresponding
eigenvalue.
(iii) Find the remaining eigenvalue of A and its corresponding unit eigenvector.
(b) Find the inverse of A.
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