4. Let V = C3 and define 0 : V → V by •(: )-( a -15a + 24b – 48c — ва + 10b — 18c 2а — 36 + 7с Compute the characteristic polynomial of 0 and hence find its eigenvalues. For each eigenvalue A compute the eigenspace Ex and write down a basis of it. Hence decide whether there exists a basis of V consisting of eigenvectors for 0.

4. Let V = C3 and define 0 : V → V by •(: )-( a -15a + 24b – 48c — ва + 10b — 18c 2а — 36 + 7с Compute the characteristic polynomial of 0 and hence find its eigenvalues. For each eigenvalue A compute the eigenspace Ex and write down a basis of it. Hence decide whether there exists a basis of V consisting of eigenvectors for 0.

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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