Matrices and Vectors

Sage is an open source computer algebra system written python.

Matrices are defined as lists of rows via the syntax A = matrix([(1, 2, 3), (4, 5, 6)]).

Matrices can be summed A + B, scaled c * A, and transposed A.T.

The trace of an nxn matrix A can be calculated with A.trace().

Vectors are defined with the syntax vector([coordinate list]).

Vectors can be scaled c*v and summed v+w.