Section 4.1 Vector Spaces and SubspacesSection 4.2 Null Spaces, Column Spaces and Linear TransformationsSection Linearly Independent Sets, SetsSection 4.4 Coordinate System LetSection 4.5 The Demension is a Vector SpaceSection 5.1 Eigenvalues and Eigenvectors Section 5.2 The Characteristic EquationSee Example 5 0n Page 278 Section 5.3 Diagonalization6.1 Inner Product, Length, and Orthogonality6.2 Orthogonal Sets6.3 Orthogonal Projections6.4 The Gram–Schmidt Process Section 6.5 Least-Squares
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