Transcription of Linear Algebra and Its Applications
{{id}} {{{paragraph}}}
Example: confidence
Linear Algebra and Its Applications
Linear Algebra and Its Applications Fourth Edition Gilbert Strang x y z Ax b y Ay b b 0. z Az 0. 0. Contents Preface iv 1 Matrices and Gaussian Elimination 1. Introduction .. 1. The Geometry of Linear Equations .. 4. An Example of Gaussian Elimination .. 13. Matrix Notation and Matrix Multiplication .. 21. Triangular Factors and Row Exchanges .. 36. Inverses and Transposes .. 50. Special Matrices and Applications .. 66. Review Exercises .. 72. 2 Vector Spaces 77. Vector Spaces and Subspaces .. 77. Solving Ax = 0 and Ax = b .. 86. Linear Independence, Basis, and Dimension .. 103. The Four Fundamental Subspaces .. 115. Graphs and Networks .. 129. Linear Transformations .. 140. Review Exercises .. 154. 3 Orthogonality 159. Orthogonal Vectors and Subspaces.
toward linear algebra. Working with curved lines and curved surfaces, the first step is always to linearize. Replace the curve by its tangent line, fit the surface by a plane, and the problem becomes linear. The power of this subject comes when you …
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: