Competitive Approach to Linear Algebra

This is an introductory text aimed at undergraduate and postgraduate students of science and engineering. It discusses matrices and elementary operations, eigen values and eigen vectors, vector spaces, subspaces, basis and dimensions, linear transformations, their algebra, linear functional and dual spaces, inner products, Jordan canonical forms, diagonalization, Jordan forms, quadratic forms, and modules, etc.

The majority of the questions that have been included have been designed to access the reader's understanding of the subject. The user-friendly systematic presentation gives the readers an idea about the model questions and help them to be focussed. The book will serve as an efficient toll to prepare for the various competitive examinations.

Acesta este un text introductiv destinat studentilor universitari si postuniversitari de stiinta si inginerie. Se discuta matrici si operatii elementare, valori proprii si vectori proprii, spatii vectoriale, sub spatii, baza si dimensiuni, transformari liniare, algebra lor, spatii functionale si duale liniare, produse interioare, forme canonice Jordan, diagonalizare, forme Jordan, forme patratice si module, etc. Majoritatea intrebarilor care au fost incluse au fost concepute pentru a accesa intelegerea cititorului asupra subiectului.