Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has eigenvalues d1 = 4 and X2 = 6, in that order. ao(t) is always the function e". Choose the correct equation for a1(t) da1 : 6a1 + et a1(0) = 1 %3| (a) dt (b) da1 4a1 + e a1(0) = 1 dt (c) da1 dt = -4a1 + e4t a1(0) = 0 da1 (d) dt :4a1 + e4t a1(0) = 0 %3D О (е) da1 dt бај + е# а, (0) — 0 (f) da1 -4a1 + ett a1(0) = 1 || dt

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices
Problem 31EQ
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Suppose that you were trying to use the Putzer method to exponentiate the matrix A which
has eigenvalues dı = 4 and A2 = 6, in that order.
ao(t) is always the function et. Choose the correct equation for a1(t)
da1
О (а)
6a1 + e4t
a1(0) = 1
dt
da1
: 4a1 + e4t
P (g)
da1
a1(0) = 1
(c) dt
-4a1 + ett a1(0) = 0
da1
(d) dt
4a1 + et a1(0) = 0
da1
(e)
: 6a1 + e4t
a1(0) = 0
dt
da1
(f)
dt
— 4а, + e# a,(0) — 1
Transcribed Image Text:Suppose that you were trying to use the Putzer method to exponentiate the matrix A which has eigenvalues dı = 4 and A2 = 6, in that order. ao(t) is always the function et. Choose the correct equation for a1(t) da1 О (а) 6a1 + e4t a1(0) = 1 dt da1 : 4a1 + e4t P (g) da1 a1(0) = 1 (c) dt -4a1 + ett a1(0) = 0 da1 (d) dt 4a1 + et a1(0) = 0 da1 (e) : 6a1 + e4t a1(0) = 0 dt da1 (f) dt — 4а, + e# a,(0) — 1
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