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Extra info for A First Course in Linear Algebra [GFDL

Example text

PSHS Particular solutions, homogeneous solutions, Archetype D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 97 98 101 103 108 110 112 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 .

Xxxvi . . . . 75 76 76 77 77 78 78 Section VO VESE Vector equality for a system of equations . . . . . . . . . . . VA Addition of two vectors in C4 . . . . . . . . . . . . . . . CVSM Scalar multiplication in C5 . . . . . . . . . . . . . . . 89 90 91 Section LC TLC Two linear combinations in C6 .

U + v: Column Vector Addition . . . . . . αu: Column Vector Scalar Multiplication . . . S : Span of a Set of Vectors . . . . . . . u: Complex Conjugate of a Column Vector . . . u, v : Inner Product . . . . . . . . . v : Norm of a Vector . . . . . . . . . ei : Standard Unit Vectors . . . . . . . . Mmn : Vector Space of Matrices . . . . . . A = B: Matrix Equality . . . . . . . . A + B: Matrix Addition . . . . . . . . αA: Matrix Scalar Multiplication .

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