3. Let A = 1. ). Compute eat in two different ways: (a) by exponentiating the equivalent diagonal matrix; ( ) 3 1 (b) by noting that AB = BA=e^+B – e*eB and further noting that 1 = A+B where 3 3 0 0 3 :). -(: )- A = and B =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Let A =
Compute eAt in two different ways:
1 3
(a) by exponentiating the equivalent diagonal matrix;
(b) by noting that AB = BA= e4+B = e^eB and further noting that
3 1
1 3
= A+B where
3 0
0 3
A =
and B :
Transcribed Image Text:3. Let A = Compute eAt in two different ways: 1 3 (a) by exponentiating the equivalent diagonal matrix; (b) by noting that AB = BA= e4+B = e^eB and further noting that 3 1 1 3 = A+B where 3 0 0 3 A = and B :
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