Linear algebra uses the tools and methods of vector and matrix operations to determine the properties of linear systems. Wolfram|Alpha's rigorous computational knowledge of topics such as vectors, vector spaces and matrix theory is a great resource for calculating and exploring the properties of vectors and matrices, the linear independence of vectors and the vector spaces underlying sets of vectors and matrices.
Find properties of and perform computations on n-dimensional vectors.
Check vectors for both linear dependence and linear independence.
Explore various properties of matrices.
Compute properties of linear vector spaces.