Welcome to the linear algebra package "CASLA", written on MAPLE V Release 5.

This educational package implements the algorithms in the spanish book

            "Procedimientos Simbolicos en Algebra Lineal"
 

Any suggestion, and/or bugs in the programs, will be akcnowledged in

Juan Manuel de Olazabal

• If your computer has memory enough, which is usual, you may obtain the whole programa.

• Otherwise, since the package is modular, you may choose working with some parts. If you prefer this modular option, click here.

In either case, "download" the file/s to your local computer and read it/them from your Maple job.

• After, in a modular way, you may choose among several options:
• If you want to work with the concept of equivalence of matrices:
• Echelon matrices
• Rank
• Factorization LU
• Nullspace
• Linear systems....
You may obtain a pdf detailed explanation of the file, by the moment in spanish, clicking here
• If you want a text file with examples, click here
• If you want a MAPLE worksheet  with samples about  echelon matrices, click here
• If you want a MAPLE worksheet  with samples about  rank of matrices, click here
• If you want a MAPLE worksheet  with samples about  factorization LU, click here
• If you want a MAPLE worksheet  with samples about  inversion of matrices, click here
• If you want a MAPLE worksheet  with samples about solution of linear systems, click here

 
• If you want to work with the concept of similar matrices on the basic field:

• Eigenvalues, eigenvects and diagonalization of matrices
• Minimum polynomial
• Cyclic and Frobenius or Rational forms ....
You may obtain a pdf detailed explanation of the file, by the moment in spanish, clicking here
 
• If you want a text file with examples, click here
• If you want a MAPLE worksheet  with samples about cyclic forms, click here
• If you want a MAPLE worksheet  with samples about the Frobenius form, click here

 
• If you want to work with the concept of similar matrices in adequate extensions:

• Irreducible canonical form
• Rational jordan form
• Jordan canonical form...

You may obtain a pdf explanation of the file, by the moment in spanish, clicking here.
• If you want a text file with examples, click here

• If you want a MAPLE worksheet  with samples about eigenvalues and eigenvects click
• If you want samples about reduction of companion matrices, click here
• If you want a MAPLE worksheet  with samples about the Jordan form, click here
• If you want a MAPLE worksheet  with samples about the Rational  Jordan form, click here
• If you want a MAPLE worksheet  with samples about the concept of pillar, click here

 
• If you want to work with the concept of metric spaces:

• Congruent matrices
• Hermitian matrices
• Cholesky factorization
• Ortogonality
• Seudoinverse
• Gram-Schmidt.  QR factorization
• Spectral theorem
• SVD
• Ortogonal mappings
• Quadratic surfaces...

  You may obtain a pdf detailed explanation of the file, by the moment in spanish,  clicking here
 
• If you want a text file with examples,  click here
• If you want a MAPLE worksheet  with samples about diagonalization of  symmetric matrices ( quadratic forms) and hermitian matrices, click here
• If you want a MAPLE worksheet  about Cholesky,QR, SVD and Schur decomposition, click here
• If you want a MAPLE worksheet  with samples about ortogonality, click here
• If you want a MAPLE worksheet  with samples about the Moore-Penrose inverse, click here
• If you want a MAPLE worksheet  with samples about Gram-Schmidt, click here
• If you want a MAPLE worksheet  with samples about spectral theorem, click here
• If you want a MAPLE worksheet  with samples about quadratic surfaces, click here