Linear algebra and its applications. (2021)
- Record Type:
- Book
- Title:
- Linear algebra and its applications. (2021)
- Main Title:
- Linear algebra and its applications.
- Authors:
- Lay, David C
Lay, Steven R, 1944-
McDonald, Judith - Contents:
- <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1. Linear Equations in LinearAlgebra<span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin"> <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Introductory Example: LinearModels in Economics and Engineering <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.1 Systems of Linear Equations <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.2 Row Reduction and EchelonForms <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.3 Vector Equations <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.4 The Matrix Equation Ax= b <span style="font-size:11.0pt;font-family:"Calibri",<span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1. Linear Equations in LinearAlgebra<span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin"> <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Introductory Example: LinearModels in Economics and Engineering <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.1 Systems of Linear Equations <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.2 Row Reduction and EchelonForms <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.3 Vector Equations <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.4 The Matrix Equation Ax= b <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.5 Solution Sets of LinearSystems <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.6 Applications of Linear Systems <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.7 Linear Independence <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.8 Introduction to LinearTransformations <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.9 The Matrix of a LinearTransformation <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">1.10 Linear Models in Business, Science, and Engineering <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Projects <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Supplementary Exercises <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin"><span style="mso-spacerun:yes"> <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2. Matrix Algebra<span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin"> <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Introductory Example: ComputerModels in Aircraft Design <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2.1 Matrix Operations <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2.2 The Inverse of a Matrix <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2.3 Characterizations ofInvertible Matrices <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2.4 Partitioned Matrices <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2.5 Matrix Factorizations <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2.6 The Leontief Input—OutputModel <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2.7 Applications to ComputerGraphics <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2.8 Subspaces of <span style="font-size:11.0pt;font-family:"Cambria Math", serif;mso-bidi-font-family:"Cambria Math"">ℝ<span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">n<span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin"> <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">2.9 Dimension and Rank <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Projects <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Supplementary Exercises <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin"><span style="mso-spacerun:yes"> <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">3. Determinants<span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin"> <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Introductory Example: Random Pathsand Distortion <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">3.1 Introduction to Determinants <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">3.2 Properties of Determinants <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">3.3 Cramer's Rule, Volume, andLinear Transformations <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Projects <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Supplementary Exercises <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin"><span style="mso-spacerun:yes"> <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">4. Vector Spaces<span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin"> <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">Introductory Example: Space Flightand Control Systems <span style="font-size:11.0pt;font-family:"Calibri", sans-serif;mso-ascii-theme-font:minor-latin;mso-hansi-theme-font:minor-latin;mso-bidi-theme-font:minor-latin">4.1 Vector Spaces and Subspaces <span style … (more)
- Edition:
- Sixth edition Global edition
- Publisher Details:
- Upper Saddle River : Pearson
- Publication Date:
- 2021
- Extent:
- 1 online resource
- Subjects:
- 512.5
Algebras, Linear
Algebras, Linear -- Problems, exercises, etc - Languages:
- English
- ISBNs:
- 9781292351223
- Notes:
- Note: Description based on CIP data; resource not viewed.
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.630362
- Ingest File:
- 05_043.xml