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Vector Space


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Vector Space
Set of Objects, called vectors , in which two operations are defined. called addition and scalar multiplication
Subspace
A subset H of some Vector Space V such that H has these properties.
Null Space
the set of all solutions to the homogenous equation Ax=0
Column Space
The set of all linear combinations of the columns of A
Basis
A set of linearly independent vectors which spans the space.
Row Space
the set of all linear combinations of the vectors formed from the rows of A also noted as the ColAT
Rank
the dimension fo the cloumn space of A