All Vector spaces have Basis (Linearly Independent Vectors) and Which Spans the Other Vectors in the Vector Space.
2. Sub Space.
Matrix Spaces
1. Column Space (RREF)
2. Row Space (REF)
3. Null or Solution Space (RREF without and with free variable)
Eigen Space with Eigen Vectors.
Inner Product Space - A vector space with inner product is called Inner Product Space. (set of scalars is set of real numbers)
Usefulness: For Gram Schmidt Orthogonality. QR Decomposition.
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