Projection onto 1-D Subspace - Maple Help

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Projection onto 1-D Subspace

Description

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This template projects a vector onto a 1-D subspace (that is, onto another vector or line through the origin).

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When projecting a vector onto another vector, both vectors should be of the same dimension. To obtain a graph, the vectors must evaluate to numeric.

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When projecting a vector onto a line through the origin, the vector must be 2-D.

 

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In the graph, the black vector is the one being projected, the green vector is the projection, and the red vector is the orthogonal component.

 

Projection onto 1-D Subspace

Vector to be projected

Project onto

 

 

   

   

   

Commands Used

Student[LinearAlgebra][ProjectionPlot]

Related Task Templates

Linear Algebra > Vector Projection onto Vector, Linear Algebra > Generate a Projection Matrix

See Also

LinearAlgebra, VectorCalculus

 

 

 

 


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