et A: R¹ → Rn be an operator that leaves a subspace E CRn invariant. et x: R → Rn be a solution of x' Ax. If x (to) € E for some to € R, show

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question about:Homogeneous Linear Systems

3. Let A: R → Rn be an operator that leaves a subspace ECR invariant.
Let x: R→ Rª be a solution of x'
Ax. If x (to) € E for some to € R, show
that r(t) EE for all t€ R.
=
Transcribed Image Text:3. Let A: R → Rn be an operator that leaves a subspace ECR invariant. Let x: R→ Rª be a solution of x' Ax. If x (to) € E for some to € R, show that r(t) EE for all t€ R. =
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