A First Course in Linear Algebra [GFDL by Beezer

By Beezer

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A Treatise on Universal Algebra with Applications

Symbolic Reasoning allied to boring A lgebra. the executive examples of such structures are Hamilton sQ uaternions, Grassmann sC alculus of Extension and Boole sS ymbolic good judgment. Such algebras have an intrinsic price for separate precise learn; they are also priceless of a comparative learn, for the sake of the sunshine thereby thrown at the basic concept of symbolic reasoning, and on algebraic symbolism particularly.

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52 53 54 57 58 Section HSE AHSAC Archetype C as a homogeneous system . . HUSAB Homogeneous, unique solution, Archetype B . HISAA Homogeneous, infinite solutions, Archetype A HISAD Homogeneous, infinite solutions, Archetype D NSEAI Null space elements of Archetype I . . . CNS1 Computing a null space, #1 . . . . . CNS2 Computing a null space, #2 . . . . . . . . . . . .

65 66 66 66 68 68 69 xxxv EXAMPLES Section NM S A singular matrix, Archetype A . NM A nonsingular matrix, Archetype B IM An identity matrix . . . . . SRR Singular matrix, row-reduced . . NSR Nonsingular matrix, row-reduced . NSS Null space of a singular matrix . . NSNM Null space of a nonsingular matrix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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