Unformatted text preview: T > 0. 3. Compute e At for A = 12 . Is the system ˙ x = Ax asymptotically stable? What about marginally stable? 4. Compute the transfer function of the system ˙ x = Ax + bu y = cx + u , where A : = 21 , b : = 11 , c : = b 1 1 1 B . Is this system BIBO stable? 5. Can the inverse of a n × n nonsingular matrix A be written as a linear combination of the matrices I , A , A 2 ,..., A n1 ? Carefully justify your answer. Hint: Mr. Cayley and his friend Mr. Hamilton would know how to do this with their hands tied behind their backs. 1...
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 Fall '09
 abamieh
 Linear Algebra, Determinant, Derivative, Invertible matrix

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