Q3. Consider the homogeneous CLTI system i = Ax where 1 01 A = -1 1 1. a) Is A diagonalizable? If not, find its Jordan normal form. b) Find the matrix exponential eAt (using the Jordan form) and the analytical solution of x(t) for arbitrary initial condition xo.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
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Q3. Consider the homogeneous CLTI system i = Ax where
1
01
A =
-1
2
-1
a) Is A diagonalizable? If not, find its Jordan normal form.
b) Find the matrix exponential eAt (using the Jordan form) and the analytical solution of x(t) for
arbitrary initial condition xo.
Transcribed Image Text:Q3. Consider the homogeneous CLTI system i = Ax where 1 01 A = -1 2 -1 a) Is A diagonalizable? If not, find its Jordan normal form. b) Find the matrix exponential eAt (using the Jordan form) and the analytical solution of x(t) for arbitrary initial condition xo.
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