Invariantive Characterizations of Linear Algebras With the Associative Law Not Assumed

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Excerpt from Invariantive Characterizations of Linear Algebras With the Associative Law Not Assumed: A Dissertation Submitted to the Faculty of the Ogden Graduate School of Science in Candidacy for the Degree of Doctor of Philosophy, Department of MathematicsN O analogous theorem exists concerning the interchange of two rows.Lemma 2, Any hypercomplex determinant two of whose columns are identical is zero.For by the interchange of the two identical columns the determinant is nu altered, and yet changes in sign.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.