TITLE: What is the "grade" in geometric algebra
QUESTION [6 upvotes]: I'm reading a book (Linear and Geometric Algebra, by Alan Macdonald) where the author uses the term grade without ever defining it.  I have a murky sense of what the grade of a blade may be (a geometric product of k orthogonal vectors is called a blade of grade k), but I have no idea of what the grade of a general multivector is.  Does grade apply only to blades?  If not, what is the definition of grade?

REPLY [4 votes]: Please refer to the top of p. 97 and also the previous page. See also Definition 6.7 on p. 98.
Alan Macdonald