Exploring linear algebra : labs and projects with Mathematica /: labs and projects with Mathematica. (2014)

• Record Type: Book
• Further Information: Note: Crista Arangala.
• Authors: Arangala, Crista
• Contents: Matrix Operations; Lab 0: An Introduction to Mathematica ; Lab 1: Matrix Basics and Operations; Lab 2: A Matrix Representation of Linear Systems; Lab 3: Powers, Inverses, and Special Matrices; Lab 4: Graph Theory and Adjacency Matrices; Lab 5: Permutations and Determinants; Lab 6: 4 x 4 Determinants and Beyond; Project Set 1 Invertibility; Lab 7: Singular or Nonsingular? Why Singularity Matters; Lab 8: Mod It Out, Matrices with Entries in Zp; Lab 9: It’s a Complex World; Lab 10: Declaring Independence: Is It Linear?; Project Set 2 Vector Spaces; Lab 11: Vector Spaces and Subspaces; Lab 12: Basing It All on Just a Few Vectors; Lab 13: Linear Transformations; Lab 14: Eigenvalues and Eigenspaces; Lab 15: Markov Chains, An Application of Eigenvalues; Project Set 3 Orthogonality; Lab 16: Inner Product Spaces; Lab 17: The Geometry of Vector and Inner Product Spaces; Lab 18: Orthogonal Matrices, QR Decomposition, and Least Squares Regression; Lab 19: Symmetric Matrices and Quadratic Forms; Project Set 4 Matrix Decomposition with Applications; Lab 20: Singular Value Decomposition (SVD); Lab 21: Cholesky Decomposition and Its Application to Statistics; Lab 22: Jordan Canonical Form; Project Set 5 Applications to Differential Equations; Lab 23: Linear Differential Equations; Lab 24: Higher-Order Linear Differential Equations; Lab 25: Phase Portraits, Using the Jacobian Matrix to Look Closer at Equilibria; Project Set 6 Mathematica Demonstrations and References Index
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2014
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 512.5028553; Algebras, Linear -- Data processing
• Languages: English
• ISBNs: 9781482241525; 9781482241501; 9781482241518
• Related ISBNs: 9781482241495
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; item 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.