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  • 3.5: Orthogonal Projection and Least Squares
    https://math.libretexts.org/Workbench/Math_26%3A_Introduction_to_Linear_Algebra/03%3A_Eigenvalues_and_Eigenvectors/3.05%3A_Orthogonal_Projection_and_Least_Squares
    Let W be a subspace of Rn and let x be a vector in Rn . In this section, we will learn to compute the closest vector xW to x in W. The vector xW is called the orthogonal projection of x...Let W be a subspace of Rn and let x be a vector in Rn . In this section, we will learn to compute the closest vector xW to x in W. The vector xW is called the orthogonal projection of x onto W . This is exactly what we will use to almost solve matrix equations.
  • 7.3: Orthogonal Projection
    https://math.libretexts.org/Courses/Mission_College/MAT_04C_Linear_Algebra_(Kravets)/07%3A_Orthogonality/7.03%3A_Orthogonal_Projection
    Let W be a subspace of Rn and let x be a vector in Rn . In this section, we will learn to compute the closest vector xW to x in W. The vector xW is called the orthogonal projection of x...Let W be a subspace of Rn and let x be a vector in Rn . In this section, we will learn to compute the closest vector xW to x in W. The vector xW is called the orthogonal projection of x onto W . This is exactly what we will use to almost solve matrix equations.

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