Question: 1. Identify the stable, unstable and center eigenspaces for the following system. 2 0 -7 x (t ) X = 0 0 0 X, where

1. Identify the stable, unstable and center eigenspaces for the following system. 2 0 -7 x (t ) X = 0 0 0 X, where X = 2 2 ( t ) 1 0 H X3 (t ) 0 If initially x(0) = 2 what is x(t)? Give the normal form equations for this system. (10 marks)

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