By Robert A Beezer
A primary direction in Linear Algebra is an creation to the elemental techniques of linear algebra, besides an creation to the recommendations 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 various labored examples and routines, in addition to distinctive statements of definitions and whole proofs of each theorem, making it perfect for autonomous examine.
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Extra resources for A First Course in Linear Algebra
Section VO PI Proving Identities . . . . . . . . . . . . . . . 105 Section LC DC Decompositions . . . . . . . . . . . . . . . 113 Section Section Section Section Section P SS LI LDS O MO Practice .
Examples xxix CSIP CNSV TOV SUVOS AOS GSTV ONTV ONFV Computing some inner products . . . Computing the norm of some vectors . Two orthogonal vectors . . . . . Standard Unit Vectors are an Orthogonal An orthogonal set . . . . . . . Gram-Schmidt of three vectors . . . Orthonormal set, three vectors . . . Orthonormal set, four vectors . . . . . . . . Set . . . . . . . . .
165 167 168 169 170 170 171 172 174 . . . . . . . . . . 188 190 195 196 Section SS ABS A basic span . . . . . . . SCAA Span of the columns of Archetype A . SCAB Span of the columns of Archetype B . SSNS Spanning set of a null space . . . NSDS Null space directly as a span . . . SCAD Span of the columns of Archetype D . Section LI LDS LIS LIHS LDHS LDRN LLDS LDCAA LICAB NSLIL Section LDS RSC5 Reducing a span in C5 . . COV Casting out vectors .