In this problem, we take |·| to be the usual Euclidean 2-norm. Suppose that all the eigenvalues of the matrix A have negative real part. Then every solution of the differential equation x' Ax...

Please give me a counter example because it is false

In this problem, we take |·| to be the usual Euclidean 2-norm.<br>Suppose that all the eigenvalues of the matrix A have negative real part. Then every<br>solution of the differential equation x'<br>Ax satisfies,<br>|æ(t)| < |x(s)|,<br>if t > s.<br>

Extracted text: In this problem, we take |·| to be the usual Euclidean 2-norm. Suppose that all the eigenvalues of the matrix A have negative real part. Then every solution of the differential equation x' Ax satisfies, |æ(t)| < |x(s)|,="" if="" t=""> s.

Jun 04, 2022

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In this problem, we take |·| to be the usual Euclidean 2-norm. Suppose that all the eigenvalues of the matrix A have negative real part. Then every solution of the differential equation x' Ax...

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