Group 3.A =00010 35 43021100a) Determine the characteristic polynomial of matrix A.b) Determine justifying the eigenvalues of matrix A.c) For each eigenvalue of A, determine justitying a base for his eigenspace.d) Determine justifying if it is possible to obtain an invertible matrix P thatP-¹AP is a diagonal matrix, and in case it is, indicate a diagonal matrixof A and an invertible P such that A -= P¹AP.

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Answered: A- 0001 0354 3021 1000 a) Determine the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Pls help ASAP. As you can see from the image the dimension eignevalue and distinct eignevalue when its one then pls state that and if there are more than one pls state that and pls give the proper matrix numbers to fill in and clearly state where they are by highlighting them or circling the answers. Pls do it right.
Calculate the characteristic polynomial of the following matrix A, and use it to compute the eigenvalues of A. -8 4 A = 14 4 6 -2 4 -6 How to enter polynomials: something like 2- 3*r + 4*r^2 - 5*rA3. Remember to use * for multiplication! Enter the characteristic polynomial of the matrix A: Note: Use r as the polynomial variable. Enter the eigenvalues of A separating them by commas: something like 1, -2, 5.
Let x = Express as a linear combination of 71, 72, and 73, and find Ax. Ax = be eigenvectors of the matrix A which correspond to the eigenvalues X₁ -1 -1 2 V₁ 2 = ₁+ 2 0 √₂+2 , V₂ = [2] , V3 = -0 x = == -1, A₂ = 2, and X3 = 4, respectively, and let -3 V3.
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Determine the characteristic polynomial and the eigenvalues for the matrix. A =0 -50
Consider the matrix 0 1 0 0 0010 0001 1000 (a) Find the eigenvalues by finding the characteristic polynomial and looking at its roots. (b) Find the eigenvalues by setting up a system of equations Ar = λ and solving the easy system of equations in the variables x1, x2, x3, x4 for possible X's. (c) For (each/the) eigenvalue, find the corresponding eigenvectors and eigenspaces.

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A- 0001 0354 3021 1000 a) Determine the characteristic polynomial of matrix A. b) Determine justifying the eigenvalues of matrix A. c) For each eigenvalue of A, determine justitying a base for his eigenspace.