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  • 4.10: Orthogonal Projections
    https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course/04%3A_R/4.10%3A_Orthogonal_Projections
    An important use of the Gram-Schmidt Process is in orthogonal projections, the focus of this section.
  • 4.10.E: Exercise for Section 4.10
    https://math.libretexts.org/Courses/De_Anza_College/Linear_Algebra%3A_A_First_Course/04%3A_R/4.10%3A_Orthogonal_Projections/4.10.E%3A_Exercise_for_Section_4.10
    This page outlines exercises on projections onto subspaces, orthogonal complements, and distances to planes in Rn. It includes tasks such as projecting vectors, identifying bases for ort...This page outlines exercises on projections onto subspaces, orthogonal complements, and distances to planes in Rn. It includes tasks such as projecting vectors, identifying bases for orthogonal complements, and calculating distances based on linear equations. Key results feature specific projections and descriptions of orthogonal complements, particularly in three-dimensional spaces. The final exercise requires a proof related to the properties of orthogonal complements.

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