Distinguished rings of linear transformations

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Linear Transformations

The n×m matrix AT obtained by exchanging rows and columns of A is called the transpose of A. A matrix A is said to be symmetric if A = AT . The sum of two matrices of equal size is the matrix of the entry-by-entry sums, and the scalar product of a real number a and an m× n matrix A is the m× n matrix of all the entries of A, each multiplied by a. The difference of two matrices of equal size A a...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1964

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-1964-0161884-0