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7 Suppose A is an n x n invertible matrix and A is an eigenvalue...

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Algebra

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7 Suppose A is an n x n invertible matrix and A is an eigenvalue of A Suppose x is an eigenvector of corresponding to A a Show that A0 and x is an eigenvector of A corresponding to eigenvalue A b Define a 2n x 2n matrix C and the vector y in R2 by A A 1 c A4 Is y an eigenvector of C If yes what is its corresponding eigenvalue y

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