Zusammenfassung der Ressource
Vector
Space
- Linear
Independence
- Linear Span
- Ax=b
- Vector Subspace
- Finite Dimensional Spaces
- Basis / Base
- Ordered, spanning set of linear independent vectors.
- Change Base
- Square Matrix
- - Inverse of A
exists.
- Determinant is non zero
- Rows of A are linearly independent.
- x zero row after row reduction
- rank(A) + nullity(A) = dim-dom A
- Kernel(T) = Null Space
- T(u) = 0
- Range Space = Image Space
- T(u) =v
- scalar
- Linear Transformations
- Eg. Matrix Transformation
- Inner Product Space