Eigenvalue and Eigenvector Calculator

Calculates eigenvalues and associated eigenvectors for square matrices of size 2x2 or 3x3. The tool processes a user-defined matrix input, applying established linear algebra methods to determine the characteristic values (eigenvalues) and their corresponding direction vectors (eigenvectors). Users enter the numerical coefficients of the matrix, and the calculator then outputs the solutions, providing both the scalar eigenvalues and the sets of linearly independent eigenvectors associated with them. Students and professionals studying advanced mathematics or engineering find this resource useful for understanding linear transformations. It serves as a reliable computational aid for verifying manual calculations related to diagonalization, stability analysis in dynamical systems, or solving differential equations.