Matrices
Identifieur interne : 000E93 ( Main/Exploration ); précédent : 000E92; suivant : 000E94Matrices
Auteurs : Robert J. Valenza [États-Unis]Source :
- Undergraduate Texts in Mathematics [ 0172-6056 ] ; 1993.
Abstract
Abstract: This chapter formally introduces matrices and matrix algebra. First, we take a superficial look at matrices simply as arrays of scalars, divorced from any extrinsic meaning. We define the elements of matrix arithmetic and show that it is formally well behaved, which is surprising since the definition of matrix multiplication looks somewhat unnatural at this point. Second, we consider the connection between matrices and linear systems of equations. This begins to build a bridge between vector space theory and matrix theory that will be completed in the following chapter. Finally, we survey two powerful solution techniques for linear systems and a related method for matrix inversion.
Url:
DOI: 10.1007/978-1-4612-0901-0_5
Affiliations:
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