## Matrix Algebra with SAS/IML |

**imlasn4.sas**- Green & Carroll problems
**imldet1.sas**- Properties of determinants
**imldet2.sas**- Evaluation of determinants by cofactor expansion and Gaussian elimination.
**imleig.sas**- Eigenvalues and Eigenvectors; properties of eigenvalues; illustrates the Spectral Decomposition of a matrix.
**imleqn.sas**- Solution of Systems of Equations. Illustrates consistent & inconsistent equations, and the relation to matrix rank.
**imlinv1.sas**- Inverse of a matrix: definitions and properties.
**imlinv2.sas**- Matrix inversion by elementary row operations
**imlinv3.sas**- Generailzed inverse of a matrix
**imlmat1.sas**- Basic matrix definitions
**imlmat2.sas**- Matrix arithmetic: +, -, # (elementwise operations)
**imlmat4.sas**- Properties of matrix multiplication
**imlproj.sas**- Projections: Projecting a vector in a vector space, and the Gram-Schmidt process.
**imlrank.sas**- Matrix rank and linear independence
**imlregr.sas**- Regression using the SWEEP operator in IML
**imlreg1.sas**- Regression with IML
**imlsscp.sas**- Computing Cross product Summary Matrices
**imlxmp1.sas**- Basic matrix operations in Proc IML
**matlib.sas**- Some useful IML modules for matrix operations