This volume presents, in a unitary way, some problems of applied mechanics,
analyzed using the matrix theory and the properties of eigenvalues and eigenvectors. Problems and situations of different nature are studied. Different problems and
studies in mechanical engineering lead to patterns that are treated in a similar way.
The same mathematical apparatus allows the study of mathematical structures such
as the quadratic forms but also mechanical problems such as multibody rigid
mechanics, continuum mechanics, vibrations, elastic and dynamic stability or
dynamic systems. A substantial number of engineering applications illustrate this
volume.