9781441918147 - Generalized Inverses: Theory and Applications (CMS Books in Mathematics) von Ben-Israel, Adi; Greville, Thomas N.E. (3 Ergebnisse)

2nd Ed. 235 mm x 155 mm. XV, 420 p. Softcover. 2nd Ed. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. CMS Books in Mathematics. Sprache: Englisch.

Zustand: New. In.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 1. The Inverse of a Nonsingular Matrix It is well known that every nonsingular matrix A has a unique inverse, 1 denoted by A , such that 1 1 AA = A A =I, (1) where I is the identity matrix. Of the numerous properties of the inverse matrix, we mention a few. Thus, 1 1 (A ) = A, T 1 1 T (A ) =(A ) , 1 1 (A ) =(A ) , 1 1 1 (AB) = B A , T where A and A , respectively, denote the transpose and conjugate tra- pose of A. It will be recalled that a real or complex number is called an eigenvalue of a square matrix A, and a nonzero vector x is called an eigenvector of A corresponding to ,if Ax = x. 1 Another property of the inverse A is that its eigenvalues are the recip- cals of those of A. 2. Generalized Inverses of Matrices A matrix has an inverse only if it is square, and even then only if it is nonsingular or, in other words, if its columns (or rows) are linearly in- pendent. In recent years needs have been felt in numerous areas of applied mathematics for some kind of partial inverse of a matrix that is singular or even rectangular.