89.1.Let A-6 -733(a) Doing all the computations by hand, find the characteristic polynomial of A.(b) Doing all the computations by hand, find the eigenvalues of A and their algebraic andgeometric multiplicities.(c) Find an invertible matrix C and a diagonal matrix D such that C-lAC = D.

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Answered: 8. 9. 1. Let A -6 -7 3 -1 (a) Doing all…

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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8. 9. 1. Let A -6 -7 3 -1 (a) Doing all the computations by hand, find the characteristic polynomial of A. (b) Doing all the computations by hand, find the eigenvalues of A and their algebraic and geometric multiplicities. (c) Find an invertible matrix C and a diagonal matrix D such that C-'AC = D.