1. (10 pts) For the system: X'= -3x + y y ' = 2x - 4y A) Find the eigenvalues and eigenvectors: B) Solve the sytem: C) Is (0, 0) a stable node,
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1. (10 pts) For the system:
X'= -3x + y
y ' = 2x - 4y
A) Find the eigenvalues and eigenvectors:
B) Solve the sytem:
C) Is (0, 0) a stable node, saddle point, or unstable node?

Top Answer

Eigen value is -2 and -5... View the full answer

New Doc 2019-12-12 09.39.59_1.jpg

( A - d I ) V = O
- 1 - 3
1
2
- 1 - 4
V : U
Perform row operation to obtain ref of matrix
R2 - R2 + 2 R1
R ,
- ( - URI
Solve makeix equation
V, - V 2 = 1
=) VI = V2
V2 = t
eigenvector
for 1 = - 5
(...

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