The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x'=Ax. 13 17 1 -5 1 x A-9, -9, -9 0 1 x(t) =

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
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The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x'=Ax.
-13 17 4
-5 1 x; λ=-9, -9, -9
0
1
x(t) =
44This is a solved question
The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x'=Ax.
15 17 4
x'=
1 x, A=-11, -11, -11
-1 -7
01-11
GEET
1
x(t)= C₁ e 11t 0
0t+ 1
+Cze
1
1
+C₂e-11t
2
1
0
1²+
5
4
1t+ 1
Transcribed Image Text:Solve. The same way to ask the solution The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x'=Ax. -13 17 4 -5 1 x; λ=-9, -9, -9 0 1 x(t) = 44This is a solved question The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated system x'=Ax. 15 17 4 x'= 1 x, A=-11, -11, -11 -1 -7 01-11 GEET 1 x(t)= C₁ e 11t 0 0t+ 1 +Cze 1 1 +C₂e-11t 2 1 0 1²+ 5 4 1t+ 1
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