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Linear Algebra: Orthogonal Complement

A series of linear algebra lectures given in videos by Khan Academy.

 

 

Representing vectors in Rn using subspace members Showing that any member of Rn can be represented as a unique sum of a vector in subspace V and a vector in the orthogonal complement of V.

 

 

Orthogonal Complement of the Orthogonal Complement
Finding that the orthogonal complement of the orthogonal complement of V is V

 

 

Orthogonal Complement of the Nullspace
The orthogonal complement of the nullspace and left nullspace.

 

 

Unique rowspace solution to Ax=b
Showing that, for any b that is in the column space of A, there is a unique member of the row space that is the "smallest" solution to Ax=b

 

 

 

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