Sections

• Introduction
• Construction of Matrix Algebras and their Elements
• Construction of Subalgebras, Ideals and Quotient Rings
• The Construction of Extensions and their Elements
• Changing Rings
• Elementary Operations on Elements
• Determinant, Trace, Transpose and Order
• Elements of M_n(S) as Homomorphisms
• Elementary Operations on Subalgebras and Ideals
• Accessing and Modifying a Matrix
• Canonical Forms
• Solutions of Systems of Linear Equations