Fundamental matrices
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(See attached file for full problem description with the matrix)
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a) Write the fundamental matrix for the system:
b) Compute the exponential matrix where A is the matrix in part a).
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Solution Summary
The expert writes the fundamental matrix for the system. The exponential matrix where A is the matrix in part a is determined.
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Please find the attached solution.
a) Write the fundamental matrix for the system:
b) Compute the exponential matrix where A is the matrix in part a).
Solution:
a)
Step1: Eigen-values for the matrix A =
Then the characteristic equation:
- =>
(1-)(2-)2 = 0
= 1, = 2,2 (repeated solutions)
Hence the required eigen-values are ...
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