An n-tuple linear algebra (also called a complex number system) deals with quantities of the type A=/aiei derived from n special units e l, e 2 ...
Quaternions afford an example of a quadruple algebra of this kind; ordinary algebra is a special case of a duplex linear algebra.
It should be observed that while the use of special units, or extraordinaries, in a linear algebra is convenient, especially in applications, it is not indispensable.
One of the most important questions in investigating a linear algebra is to decide the necessary relations between a and b in order that this product may be zero.
Outline content: The module starts with review of linear algebra.