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Amanda C de C Williams,Judith Kappesserion in the system. In the case of vector spaces this structure is the addition and the scalar multiplication, and the resulting mappings turn out to be intimately related to matrices. Consequently, a deeper understanding of matrices and important matrix questions results from their examination.无畏 发表于 2025-3-22 00:27:39
https://doi.org/10.1057/9780230281714endent upon the bases chosen for . and .. Thus there are lots of such matrices: one corresponding to each choice of bases. It would be helpful for computational purposes if we knew how to make a particular choice of basis for which the associated matrix was as simple as possible. It is this objective that we have in mind in the current chapter.hemoglobin 发表于 2025-3-22 07:09:16
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Linear Transformations,ion in the system. In the case of vector spaces this structure is the addition and the scalar multiplication, and the resulting mappings turn out to be intimately related to matrices. Consequently, a deeper understanding of matrices and important matrix questions results from their examination.tenuous 发表于 2025-3-22 17:46:48
Eigenvectors,endent upon the bases chosen for . and .. Thus there are lots of such matrices: one corresponding to each choice of bases. It would be helpful for computational purposes if we knew how to make a particular choice of basis for which the associated matrix was as simple as possible. It is this objective that we have in mind in the current chapter.ULCER 发表于 2025-3-23 00:49:22
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https://doi.org/10.1007/978-1-4899-6365-9Let us start reviewing the situation we studied in Chapter 1. We were concerned with two sets: a set . of vectors and a set . of scalars. We defined a means of adding vectors and of multiplying vectors by scalars, and found that these two operations satisfied the following axioms, or laws: