Description
Elements of Linear Algebra
Chapman Hall/CRC Mathematics Series
Language: EnglishKeywords
Reduced Row Echelon Form; Vice Versa; Proper Orthogonal Matrix; regular; Jordan Normal Form; matrix; Non-zero Scalar; P.M; Cohn; Proper Orthogonal Transformation; Row Echelon Form; Gauss Jordan Reduction; Real Quadratic Forms; Linearly Independent; Positive Diagonal Entries; Regular Matrix; Rectangular Coordinate System; Common Perpendicular; Jordan Blocks; Diagonal Form; Vector Space; Rectangular System; Diagonal Sum; Basis Vectors; Orthogonal Matrix; Orthonormal Basis; Real Symmetric; Central Quadric; Positive Definite
· 15.2x22.9 cm · Hardback
Description
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This volume presents a thorough discussion of systems of linear equations and their solutions. Vectors and matrices are introduced as required and an account of determinants is given. Great emphasis has been placed on keeping the presentation as simple as possible, with many illustrative examples. While all mathematical assertions are proved, the student is led to view the mathematical content intuitively, as an aid to understanding.
The text treats the coordinate geometry of lines, planes and quadrics, provides a natural application for linear algebra and at the same time furnished a geometrical interpretation to illustrate the algebraic concepts.