In the literature there are several studies that show that the mathematics teaching has been successful using contextualized problems in several areas of the physics. On the other hand, in the linear algebra literature, there are few contextualized problems in physics related with the eigenvalues and eigenvectors. So, motivated by these two latter ideas, and, in order to increase the number of applications to these topics in the literature, in this work we provide a way of contextualizing problems of matrix operations, eigenvalues and eigenvectors, into a linear algebra frame, by using some basic applications of Quantum Mechanics. This propose is oriented for linear algebra literature. Furthermore, this proposed is designed without need of to use hard concepts of Quantum Mechanics.