Linear Algebra and Its Applications By David C.Lay (9788177583335)

Table of Content

1. Linear Equations in Linear Algebra.
2. Matrix Algebra.
3. Determinants.
4. Vector Spaces.
5. Eigenvalues and Eigenvectors.
6. Orthogonality and Least-Squares.
7. Symmetric Matrices and Quadratic Forms.

Salient Features

• Fundamental ideas of linear algebra are introduced within the first seven lectures, in the concrete setting of R n, and then gradually examined from different points of view. Later generalizations of these concepts appear as natural extensions of familiar ideas.
• Focus on visualization of concepts throughout the book.
• Icons in the margins to flag topics for which expanded or enhanced material is available on the Web.
• A modern view of matrix multiplication is presented. Definitions and proofs focus on the columns of a matrix rather than on the matrix entries.
• Numerical Notes give a realistic flavor to the text. Students are reminded frequently of issues that arise in the real-life use of linear algebra.
• Each major concept in the course is given a geometric interpretation because many students learn better when they can visualize an idea.