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.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.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.
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.Bibliography Includes bibliographical references (pages 133-136) and index.
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