Title :
Research about the special type matrix to proof and solve the method of linear algebra
Author :
Yan Lin Li ; Chien-Yun Dai
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Normal Univ., Taipei, Taiwan
Abstract :
“Data century has arrived! Having too many applications to discrete mathematics rather than use continuous mathematics, the method instead of using analog to digital methods. The vector and matrix has become the language which we must speak up.” says the author of the professor named Gibert, S. Linear algebra is a branch of mathematics that studies the object is a vector, a vector space (or linear space), and finite-dimensional linear transformation of linear equations. Vector space is an important topic in modern mathematics. Linear algebra is widely used in abstract algebra and functional analysis; through analytic geometry, linear algebra to be specific representation. The theory of linear algebra has been generalized to operator theory. Due to the science of nonlinear models can be approximated by the linear models. Linear algebra was widely used in the natural sciences, engineering, computer and social science. Linear algebra originated in the two-dimensional and three-dimensional Cartesian coordinate system research.
Keywords :
matrix algebra; vectors; abstract algebra; analytic geometry; discrete mathematics; finite-dimensional linear transformation; functional analysis; linear algebra; linear equations; linear models; linear space; matrix algebra; nonlinear models; operator theory; three-dimensional Cartesian coordinate system research; two-dimensional Cartesian coordinate system research; vector space; Eigenvalues and eigenfunctions; Mathematical model; Matrices; Polynomials; Symmetric matrices; Jordan canonical form; minimal ploynomial; positive definition and negative definition; quadratic curve;
Conference_Titel :
Networking, Sensing and Control (ICNSC), 2015 IEEE 12th International Conference on
Conference_Location :
Taipei
DOI :
10.1109/ICNSC.2015.7116108