次のような項目を解説する.線型空間,線型写像,自己準同型,ジョルダン標準形,双対空間,双線型形式,商空間,テンソル積と外積.
(The following topics will be explained: vector spaces, linear maps, endomorphisms, Jordan normal forms, dual vector spaces, bilinear forms, quotient vector spaces, tensor products and exterior products.)