3. Using the Putzer Algorithm find the solution for etA ifa) A e R²×² has a deR as eigenvalue of multiplicity two.b) A e R²×² has as eigenvalues A1, A2 E R with A1 7 d2.c) A e R²×² has the complex eigenvalues u and µ.d) A e R4×4 has a l e R as eigenvalue of multiplicity four.Please show all work.Thanks.

According to Putzer Algorithm etA=∑k=0n-1rk+1(t)Pk(A) (1) where…

Answered: 3. Using the Putzer Algorithm find the…

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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The matrix (image attached) has three distinct real eigenvalues if and only if Fill in blank < k < Fill in blank
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3. Using the Putzer Algorithm find the solution for etA if a) A e R²×² has a leR as eigenvalue of multiplicity two.