| Four fundamantal subspaces Ch 3. The
column space. The row space. The nullspace. The left nullspace.
Dimensions of the four fundamantal subspaces Ch. 3.6.
The Nullspace, i.e. the vectors, x, such that Ax=0. The Singular
Value Decomposition (SVD) to calculate the Nullspace of an m x n
matrix A. How to calculate rank, i.e. rank(A)=r. The dimension of
the Nullspace is then: n-r
Least squares regression. Ordinary Least Squares (OLS) regression.
Principal Component Analysis (PCA) and Principal Component
Regression (PCR). Using QR decomposition for data compression of
linear equation Y=XB+E. |
