A &MatrixMinus B - subtract two Matrices/Vectors of vectors, differential forms or tensors

A &MatrixMult C - multiply a Matrix/Vector A of vectors, differential forms or tensors by a scalar C or a Matrix/Vector C of scalars

C &MatrixMult A - multiply a Matrix A of vectors, differential forms or tensors by a scalar C or a Matrix/Vector C of scalars

A &MatrixPlus B - add two Matrices/Vectors of vectors, differential forms or tensors

E &MatrixWedge F - calculate the Matrix wedge product of two Matrices/Vectors of differential forms.

Define a 3-dimensional manifold M with coordinates [x, y, z].

Example 1 

Define two column Vectors of 1 forms A, B; a 2x2 matrix C of scalars; a row Vector of 1 forms E and a 2x2 Matrix of 1 forms F.

Perform various arithmetic operations with the quantities A, B, C, E, F.

DifferentialGeometry, LinearAlgebra, AlgebraicOperations, evalDG, DGzip, Matrix, Vector