Bases
Put content here.
Now you are in the subtree of Container for Linear Algebra project.
- Definition of basis of a vector space (or subspace)
- Definition of the standard/natural basis of R^n (or C^n)
- The standard/natural basis of R^n (or C^n) is a basis.
- Definition of change-of-coordinates matrix relative to a given basis of R^n (or C^n)
- Definition of the standard basis of the polynomials of degree at most n
- Definition of the standard basis of the m by n matrices
- Definition of coordinates relative to a given basis
- A set of nonzero vectors contains (as a subset) a basis for its span.
- The reduced row-echelon form of a matrix determines which subset of a spanning set is a basis.
- Each vector can be written uniquely as a linear combination of vectors from a given basis.
- A set is a basis if each vector can be written uniquely as a linear combination.
- Coordinates
© KTree Inc. 2024