Robert A. Liebler

Basic Matrix Algebra with Algorithms and Applications (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Classroom tested with great success, this text builds the foundation in matrix algebra needed by freshman students in mathematics, physics, and computer science and by upper-level business and social science students. The author presents the material with outstanding pedagogical clarity, many figures and diagrams, and interrelated examples. The presentation relies heavily on the use of a graphing calculator, includes section summaries, and provides exercises in each chapter. Organized into bite-sized objectives, this relatively gentle treatment prepares readers well for the advanced studies their fields will require. Supporting material, including Maple worksheets, are available for download from the Internet.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 264
• Erscheinungstermin: 3. Oktober 2018
• Englisch
• ISBN-13: 9781351989619
• Artikelnr.: 54532146

Autorenporträt

Robert A. Liebler

Inhaltsangabe

SYSTEMS OF LINEAR EQUATIONS AND THEIR SOLUTION: Recognizing Linear Systems
and Solutions. Matrices, Equivalence and Row Operations. Echelon Forms and
Gaussian Elimination. Free Variables and General Solutions. The Vector Form
of the General Solution. Geometric Vectors and Linear Functions. Polynomial
Interpolation. MATRIX NUMBER SYSTEMS: Complex Numbers. Matrix
Multiplication. Auxiliary Matrices and Matrix Inverses . Symmetric
Projectors, Resolving Vectors . Least Squares Approximation. Changing Plane
Coordinates. The Fast Fourier Transform and the Euclidean Algorithm.
DIAGONALIZABLE MATRICES: Eigenvectors and Eigenvalues. The Minimal
Polynomial Algorithm. Linear Recurrence Relations. Properties of the
Minimal Polynomial. The Sequence {Ak}. Discrete Dynamical Systems. Matrix
Compression with Components
DETERMINANTS: Area and Composition of Linear Functions. Computing
Determinants. Fundamental Properties of Determinants . Further
Applications. APPENDIX. SELECTED PRACTICE PROBLEM ANSWERS. INDEX.