Linear Algebra

Contents

1. Vector Spaces
   • Vector Spaces
   • Basis of a Vector Space and its Subspace
   • Polynomial and Functional Vector Spaces
   • Inner Product Spaces
   • Dual of a Vector Space
2. Linear Transformations
   • Linear Transformations (Linear Maps)
   • The Four Fundamental Subspaces
   • Orthonormal Bases
   • Gram-Schmidt Orthogonalization Process

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