Eigenvalues And Eigenvectors With Application

ABSTRACT

The word eigenvalue and eigenvectors are well known topics in mathematics. They are derived from the German word "eigen" which means 'proper" or 'characteristic". 'An eigenvalue of a square matrix is a scalar that is usually represented by the Greek letter X (pronounced Lambda). As we all know that the word eigenvector, is a vector. Moreove;, we require that an eigenvector be a nonzero vector, in other words, an eigenvector cannot be the zero vector. We will denote an eigenvector by the small letter x. from the standpoint of mechanical and physical applications, eigenvalue problems are among the most important problems iii connection with matrices. We first defrne the basic concepts and explain them in terms of typical examples.