A First Course in Linear Algebra by Robert A Beezer

By Robert A Beezer

A primary path in Linear Algebra is an creation to the elemental options of linear algebra, besides an creation to the options of formal arithmetic. It starts off with structures of equations and matrix algebra ahead of stepping into the idea of summary vector areas, eigenvalues, linear differences and matrix representations. It has a number of labored examples and workouts, in addition to special statements of definitions and whole proofs of each theorem, making it excellent for self sustaining examine.

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517 518 520 521 522 525 525 525 527 Section SLT NSAQ Not surjective, Archetype Q . . . . . . SAR Surjective, Archetype R . . . . . . . SAV Surjective, Archetype V . . . . . . . RAO Range, Archetype O . . . . . . . . FRAN Full range, Archetype N . . . . . . . NSAQR Not surjective, Archetype Q, revisited . . . NSAO Not surjective, Archetype O . . . . . . SAN Surjective, Archetype N .

111 113 114 117 119 125 127 130 . . . . . . . . . . . . . . . . . . . . . 141 144 146 148 149 151 Linearly dependent set in C5 . . . . . . . . . Linearly independent set in C5 . . . . . . . . . Linearly independent, homogeneous system . . . . . Linearly dependent, homogeneous system . . . . . . Linearly dependent, r < n . . . . . . . . . . Large linearly dependent set in C4 . . . . . . .

426 428 431 434 434 436 438 439 440 440 443 Section DM SS Some submatrices . . . . . . . . D33M Determinant of a 3 × 3 matrix . . . . MC Minors and cofactors . . . . . . . TCSD Two computations, same determinant . . DUTM Determinant of an upper-triangular matrix . ZNDAB Zero and nonzero determinant, Archetypes A Section EE SEE PM CAEHW CPMS3 EMS3 ESMS3 EMMS4 ESMS4 HMEM5 CEMS6 DEMS5 .

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