11. Let-4A =-4-43-3-3(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 correspondingeigenvalue.(iii) Find the remaining eigenvalue of A and its corresponding unit eigenvector.(b) Find the inverse of A.

Given is the matrix A=0-42-40-43-3-3 The objective is to determine the eigen vector and eigen value.

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.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.1: Eigenvalues And Eigenvectors

Problem 8E

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