Question 1: Putzer's AlgorithmSuppose we want to compute e^t for Awe set B0 = 12×2, B₁ = A − 212×2, so thatWhat functions 1 and 2 should we use?○ (a) r₁ (t) = e³t, and r2(t) = e²t1=using Putzer's algorithm. The eigenvalues are 2, 3 and○ (b) r1(t) = e², and r2(t) = 0e3t○ (c) ri(t) = e²t, and r2(t)○ (d) r₁(t) = te², and r2(t) = e³t + e²t2t○ (e) ri(t) = e2t, and r2(t) = e³t — e²teAt= r1B0+ r2B1.

We have given the eigenvalues: and For the two different eigenvalues and :

2 1 Suppose we want to compute e At for A = using Putzer's algorithm. The eigenvalues are 2, 3 and we set B0 = 12x2, B₁ = A - 212×2, so that eAt=r1B0+r2B1. What functions T1 and T2 should we use? e2t ○ (a) r1(t) = e³t, and r2(t) = e ○ (b) r1(t) = e², and r₂(t) = 0 (c) ri(t) = e², and r₂(t) = ○ (d) r₁(t) = te², and r2(t) = e³t 3t e³t + e² 3t - e2t (e) r1(t) = e², and r2(t) = e³t.

2 1 Suppose we want to compute e At for A = using Putzer's algorithm. The eigenvalues are 2, 3 and we set B0 = 12x2, B₁ = A - 212×2, so that eAt=r1B0+r2B1. What functions T1 and T2 should we use? e2t ○ (a) r1(t) = e³t, and r2(t) = e ○ (b) r1(t) = e², and r₂(t) = 0 (c) ri(t) = e², and r₂(t) = ○ (d) r₁(t) = te², and r2(t) = e³t 3t e³t + e² 3t - e2t (e) r1(t) = e², and r2(t) = e³t.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 17EQ

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