Abstract
Abstract : The paper contains 2 sections. In section 1 the spectral theory for rectangular complex matrices, as given by Penrose and Hestenes is reformulated so as to include the spectral theory for normal matrices as a special case. These results, which are mostly well known, are used in section 2 to study matric functions of rectangular complex matrices. These functions are shown in theorem 4 to satisfy an appropriate version of the Fantappie requirements. Theorems 5 and 6 are the analogs of Cauchy's integral theorem and Taylor's theorem respectively. (Author)
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