Solutions Linear Algebra And Its Applications
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Linear Algebra and Its Applications
With traditional linear algebra texts, the course is relatively easy for students during the early stages as material is presented in a familiar, concrete setting. However, when abstract concepts are introduced, students often hit a wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations) are not easily understood and require time to assimilate. These concepts are fundamental to the study of linear algebra, so students' understanding of them is vital to mastering the subject. This text makes these concepts more accessible by introducing them early in a familiar, concrete Rn setting, developing them gradually, and returning to them throughout the text so that when they are discussed in the abstract, students are readily able to understand.
Linear Algebra with its Applications
This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants. Linear algebra is a subject that has found the broadest range of applications in all branches of mathematics, physical and social sciences, and engineering. It has a more significant application in information sciences and control theory. A definition of linear algebra is that it is a part of algebra which is concerned with equations of the first degree. Thus, at the fundamental level, it involves the discussion of matrices and determinants, and the solutions of systems of linear equations, which have a wide application in further discussion of this subject. Technical topics discussed in the book include: Matrices Vector spaces Eigenvalue and eigenvectors Linear transformation Inner product spaces Diagonalizations Applications to conics and quadrics Canonical forms Least squares problems
Student Solutions Manual to Accompany Linear Algebra with Applications
Author: Gareth Williams
language: en
Publisher: Jones & Bartlett Publishers
Release Date: 2010-03-18
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