TY - BOOK AU - Penney,Richard C. TI - Linear algebra: ideas and applications SN - 9781118909584 U1 - 512.5 23 PY - 2016/// CY - New Jersey PB - John Wiley KW - Linear Algebras N1 - Includes index; 1. Systems of linear equations -- 2. Linear independence and dimension -- 3. Linear transformations -- 4. Determinants -- 5. Elgenvectors and eigenvalues -- 6. Orthogonality -- 7. Generalized eigenvectors -- 8. Numerical techniques -- Answers and hints -- Index N2 - Linear Algebra: Ideas and Applications, Fourth Edition provides a discussion of the theory and applications of linear algebra that blends abstract and computational concepts. With a focus on the development of mathematical intuition, the book emphasizes the need to understand both the applications of a particular technique and the mathematical ideas underlying the technique. The book introduces each new concept in the context of an explicit numerical example, which allows the abstract concepts to grow organically out of the necessity to solve specific problems. The intuitive discussions are consistently followed by rigorous statements of results and proofs ER -