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Consider the matrix A = 2 -1 (a) Find the eigenvalues of A using Matlab. (b) Find the center and radii of the three Gershgorin disks R₁, R₂, and R3.

Consider the matrix A = 2 -1 (a) Find the eigenvalues of A using Matlab. (b) Find the center and radii of the three Gershgorin disks R₁, R₂, and R3.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the matrix A = 2 0 -1 -1 14 (a) Find the eigenvalues of A using Matlab. (b) Find the center and radii of the three Gershgorin disks R₁, R2, and R3. (c) Sketch the Gershgorin disks R₁, R2, and R3 as well the eigenvalues of A in the complex plane. (d) Verify that the eigenvalues of A are contained in the union of the Gershgorin disks R₁ U R2 U R3.
Transcribed Image Text:Consider the matrix A = 2 0 -1 -1 14 (a) Find the eigenvalues of A using Matlab. (b) Find the center and radii of the three Gershgorin disks R₁, R2, and R3. (c) Sketch the Gershgorin disks R₁, R2, and R3 as well the eigenvalues of A in the complex plane. (d) Verify that the eigenvalues of A are contained in the union of the Gershgorin disks R₁ U R2 U R3.
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