Show that if u(t) is a solution to u = Au, and S is a constant, nonsingular

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Show that if u(t) is a solution to u̇ = Au, and S is a constant, nonsingular matrix of the same size as A, then v(t) = Su(t) solves the linear system v̇ = Bv, where B = SAS⁻¹is similar to A.

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Question Posted: Apr 30, 2023 01:49 AM

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Show that if u(t) is a solution to u = Au, and S is a constant, nonsingular

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2 2 Given ut is a solution to u Au and S is a constant nonsingular matrix of the same size as A To s...View the full answer

Applied Linear Algebra

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