📝 字数：working on
Linear Algebra
Estimated time to read: 1 minute
Matrix Rank
np.linalg.matrix_rank(matrix)
Vector Space
Also called linear space is a set whose elements, often called vectors, can be added together and mutiplied (scaled) by numbers called scalars.
Full Rank
If its rank equals the largest possible for a matrix of the same dimension.
eigendecomposition
The factorization of a matrix into a canonical form, whereby the matrix is represented in terms of its eigenvalues and eigenvectors.
factorization
use a product of several factors to represent a variable.
Eigenvalues and eigenvectors
1 sign flips, scaling, repeated eigenvalues are all valid eigenvalues set. Result decided by the inner algorithm. Break thing apart is a good way to understand sth. - It can reduce the computation to O(log n)