Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax + f(t), x(a)=xa- A = 8-2 10 -4 f(t) = 72e4t 96e4t x(0) = 0 :] Find the projection matrix(matrices) for A. The projection matrix(matrices) is/are (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use projection matrices to find the matrix exponential and particular solution of the given linear system
x' = Ax + f(t), x(a)=xa-
A =
8-2
10 -4
f(t) =
72e4t
96e4t
x(0) =
0
:]
Find the projection matrix(matrices) for A.
The projection matrix(matrices) is/are
(Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.)
Transcribed Image Text:Use projection matrices to find the matrix exponential and particular solution of the given linear system x' = Ax + f(t), x(a)=xa- A = 8-2 10 -4 f(t) = 72e4t 96e4t x(0) = 0 :] Find the projection matrix(matrices) for A. The projection matrix(matrices) is/are (Type exact answers, using radicals and i as needed. Use a comma to separate matrices as needed.)
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