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  • Definition of (orthogonal) projection of one vector onto another vector
  • Formula for the (orthogonal) projection of one vector onto another vector
  • Definition of (not necessarily orthogonal) projection onto a component of a direct sum
  • Definition of (orthogonal) projection onto a subspace
  • The projection of a vector which is in a subspace is the vector itself.
  • The (orthogonal) projection of a vector onto a subspace is the point in the subspace closest to the vector.
  • Formula for the coordinates of the projection of a vector onto a subspace
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  1. Formula for the (orthogonal) projection of one vector onto another vector

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  • Definition of (orthogonal) projection of one vector onto another vectorClose match
  • Formula for the coordinates of the projection of a vector onto a subspaceClose match
  • Orthogonality and projectionClose match
  • The (orthogonal) projection of a vector onto a subspace is the point in the subspace closest to the vector.Close match
  • ProjectionClose match
  • Definition of (orthogonal) projection onto a subspaceClose match
  • Definition of (not necessarily orthogonal) projection onto a component of a direct sumClose match
  • The projection of a vector which is in a subspace is the vector itself.Close match
  • Formula for the coordinates of a vector with respect to an orthogonal/orthonormal basis.Close match
  • Example of a linear transformation on R^2: projectionClose match
  • OrthogonalityClose match
  • Definition of orthogonal vectorsRelated
  • A vector can be written uniquely as a sum of a vector in a subspace and a vector orthogonal to the subspace.Related
  • Unitary matrices have orthogonal (orthonormal) rows/columns.Related
  • Least squaresRelated
  • Inner productsRelated
  • Definition of a vector being orthogonal to a subspaceRelated
  • Definition of parallel vectorsRelated
  • Definition of Gram-Schmidt processRelated
  • Definition of orthogonal set of vectorsRelated

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