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Excerpt from Matrices and Determinoids
If m and n are unequal, either a vertical row contains more elements than a horizontal row, or a horizontal row contains more elements than a vertical row. Those rows, horizontal or vertical, which contain the greater number of elements will be called long rows, and the other rows will be called short rows. The number of long rows is equal to the efficiency of the matrix. In the special case in which m and n are equal the matrix will be called a square matrix. A square matrix has only one order, which is also its efficiency, and in it either set of parallel rows may be regarded as long rows.
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Matrices and Determinoids, Vol. 1 (Classic Reprint)
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Paperback. Condizione: New. Print on Demand. This book lays the groundwork for rectangular matrices and determinoids, introducing an innovative calculus that sets them apart from their square counterparts, determinants. The author provides a complete and cohesive theory encompassing the most fundamental aspects of this mathematical terrain. With a focus on establishing a consistent and thorough understanding, the book includes numerous theorems and illustrative examples that guide readers through its core concepts. Exploring connections between matrices and linear algebra, the author delves into the significance of matrices and determinoids as related to solving systems of algebraic equations. Overall, this book offers a comprehensive exposition on rectangular matrices and determinoids, making it a valuable resource for mathematicians seeking to expand their knowledge or apply this theory to practical applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781333660901_0
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