Sylvester's Determinant Theorem: Sylvester's Determinant Theorem, Matrix (mathematics), James Joseph Sylvester - Brossura

Brossura

ISBN 10: 6131132127 ISBN 13: 9786131132124

Casa editrice: Betascript Publishing, 2010

Riassunto

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In algebra, the determinant is a special number associated with any square matrix. The fundamental geometric meaning of a determinant is a scale factor for measure when the matrix is regarded as a linear transformation. Thus a 2 × 2 matrix with determinant 2 when applied to a set of points with finite area will transform those points into a set with twice the area. Determinants are important both in calculus, where they enter the substitution rule for several variables, and in multilinear algebra. A matrix is invertible if and only if its determinant is non-zero. The determinant of a matrix A, is denoted det(A), or without parentheses: det A. An alternative notation, used in the case where the matrix entries are written out in full, is to denote the determinant of a matrix by surrounding the matrix entries by vertical bars instead of the usual brackets or parentheses.

Dettagli dell?edizione

• Editore: Betascript Publishing
• Data di pubblicazione: 2010
• ISBN 10: 6131132127
• ISBN 13: 9786131132124
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 116
• Redattore: Surhone Lambert M., Timpledon Miriam T., Marseken Susan F.