Question: Show that if u(t) is a solution to u = Au, and S is a constant, nonsingular matrix of the same size as A, then

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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