A First Course in Linear Algebra (Waldron Edition) by Robert A. Beezer

By Robert A. Beezer


A First path in Linear Algebra is an creation to the elemental thoughts of linear algebra, in addition to an creation to the strategies of formal arithmetic. It starts with platforms of equations and matrix algebra ahead of stepping into the speculation of summary vector areas, eigenvalues, linear alterations and matrix representations. It has a variety of labored examples and routines, besides exact statements of definitions and entire proofs of each theorem, making it excellent for self reliant research

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Example text

453 454 455 456 458 459 459 460 460 xxxvi EXAMPLES NSDAT Not surjective by dimension, Archetype T . . . . . . . . . . . . . . . 462 Section IVLT AIVLT An invertible linear transformation .

OSMC Orthonormal set from matrix columns . . . . . . . . . . . . . . . . 212 212 213 Section CRS CSMCS Column space of a matrix and consistent systems MCSM Membership in the column space of a matrix . . CSTW Column space, two ways . . . . . . . CSOCD Column space, original columns, Archetype D . CSAA Column space of Archetype A . . . . . . CSAB Column space of Archetype B . . . . . . RSAI Row space of Archetype I . . . . . . . RSREM Row spaces of two row-equivalent matrices .

170 170 172 172 174 . . . . . EXAMPLES xxxiii Section MM MTV A matrix times a vector . . . . . . . MNSLE Matrix notation for systems of linear equations . MBC Money’s best cities . . . . . . . . PTM Product of two matrices . . . . . . . MMNC Matrix multiplication is not commutative . . PTMEE Product of two matrices, entry-by-entry . . . . . . . . .

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