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Consider the following 2 x 2 complex matrix A. A = 27 (a) First compute the complex conjugate A (obtained by taking the com- plex

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Consider the following 2 x 2 complex matrix A. A = 27 (a) First compute the complex conjugate A (obtained by taking the com- plex conjugate of each entry) and then take its transpose to get (A) . (b) First compute the transpose A' and then take its complex conjugate to get (AT). Note that the result is the same as in the previous part, so there is no ambiguity to write it as A, which is called the conjugate transpose

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