Singular Matrix
Matrix Dimension: 其实就是row number 和 col number row x col.
Invertible/NonSingular Matrix 就是这个存在另一个matrix B 与它相乘 such that AB=BA = I
Rank = max number of linearly independent column/row vectors in the matrix
判断matrix rank【回顾一下row reduction】:
Singular Value Decomposition:
链接: https://www.quora.com/What-is-an-intuitive-explanation-of-singular-value-decomposition-SVD
the idea is to use a rank reduced approximation of a dataset to generalize some of the properties/structures.