Answered: b) Using the mesh in Figure 2, form the…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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2. Consider the following matrix 10 0 140 A1 = 0 3 A2 = 1 1 1 , A3 = 1 0 -1 3 (a) Find the eigenvalues and eigenvectors of each matrix in (2). 1 10 010 1 2 3 (2) (b) Find the modal matrix M and diagonal each matrix (2) through similarity transforma- tion. Which matrix in (2) will lead to the Jordan form?
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An orthogonal basis for the column space of matrix A is {V₁, V₂, V3}. Use this orthogonal basis to find a QR factorization of matrix A. Q=₁ R= (Type exact answers, using radicals as needed.) A= 1 -1 1 1 25 -2 1 23 42 48 V₁ 11 1 - 1 1 V₂ = 1 2 1 گیا II 3 3 W 3

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b) Using the mesh in Figure 2, form the basis functions associated with element 2 and write the FEM approximation over the element. 1 2 3 1 2 1m 1m Figure 2: Mesh of 2 elements. Elements are numbered with underlines.