Question: Consider LTI system I with matrices AI , BI , CI , DI with the usual dimensions. Let AI , BI , CI , DI

Consider LTI system I with matrices AI ,BI ,CI ,DI with the usual dimensions. Let AI ,BI , CI ,DI
denote the system obtained from system I by state transformation xI = PxI . Show that the
duals of these two systems are related to each other by state transformation, and express the
state transformation matrix for the dual systems in terms of P. Use logical notation in your
answer with system II being the dual of system I.

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