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Consider the space of complex numbers. Let this be the vector space X, and let the basis for X be…

Consider the space of complex numbers. Let this be the vector space X, and let the basis for X be…

Consider the space of complex numbers. Let this be the vector space X, and let the basis for X be  be the conjugation operator i. Find the matrix of the transformation  relative to the basis set given above.ii. Find the eigenvalues and eigenvectors of the transformation.iii. Find the matrix representation for  relative to the eigenvectors as the basis vectors.