Grassmann Algebra

13 Exploring Grassmann
Matrix Algebra
13.1 Introduction
13.2 Creating Matrices
� Creating general symbolic matrices
� Creating matrices with specific coefficients
� Creating matrices with variable elements
13.3 Manipulating Matrices
� Matrix simplification
� The grades of the elements of a matrix
� Taking components of a matrix
� Determining the type of elements
13.4 Matrix Algebra
� Multiplication by scalars
� Matrix addition
� The complement of a matrix
� Matrix products
13.5 Transpose and Determinant
Conditions on the transpose of an exterior product
� Checking the transpose of a product
Conditions on the determinant of a general matrix
� Determinants of even Grassmann matrices
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