In this chapter we define matrices with their most important operations and we study several groups and rings of matrices. The matrix operations defined in this chapter were introduced by Arthur Cayley (1821–1895) in 1858. He was the first to consider matrices as independent algebraic objects. In our book matrices form the central approach to the theory of Linear Algebra.

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Matrices

  • Jörg Liesen,
  • Volker Mehrmann

摘要

In this chapter we define matrices with their most important operations and we study several groups and rings of matrices. The matrix operations defined in this chapter were introduced by Arthur Cayley (1821–1895) in 1858. He was the first to consider matrices as independent algebraic objects. In our book matrices form the central approach to the theory of Linear Algebra.