 Linear Algebra
Maple has efficient and comprehensive linear algebra support for both
small- and large-scale problems. Its linear algebra capabilities include:
- Over 100 commands for constructing, solving, programming, and querying
topics in linear algebra.
- Standard 2-D notation to enter matrices and
vectors and display results.
- Many operations available through context-sensitive
menus and task templates, as well as commands.
- Symbolic and numeric
computations, including support for matrices containing both numbers
and variables.
- Eigenvalues and eigenvectors, both classical and generalized.
- Sophisticated
algorithms for linear algebra over finite fields.
- Many matrix factorizations and system solvers.
- State-of-the-art numerical methods for dense and sparse systems with
a high degree of user control.
- Support for both hardware float and arbitrary precision software
float data.
- Numeric routines from the Numerical Algorithms Group (NAG), CLAPACK,
and optimized vendor BLAS (ATLAS and MKL) libraries. These routines
have been integrated into Maple and are called automatically when appropriate.
Maple also contains numerous tools for teaching and learning linear
algebra concepts:
- Interactive tutors let you single step through Gaussian elimination;
Gauss- Jordan elimination; and the computation of the inverse, eigenvalues,
and eigenvectors of a matrix.
- Visualization routines display the cross
product of two vectors, a system of 2-D or 3-D linear equations, the
projection of a vector onto a subspace, and more.
- Over 25 task templates
assist in common linear algebra operations, including taking cross
and dot products, calculating bases, and solving systems of linear
equations.
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