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Linear Algebra: Orthogonal Complement



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More Lessons for Linear Algebra

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A series of linear algebra lectures.

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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