eigenvalue equation
finds nonzero vectors whose direction does not change in linear transformations.
symbols, variables and units
A: square matrix; v: non-zero eigenvector; λ: eigenvalue, the unit is consistent with the function of A.
applicable conditions and boundaries
v≠0; real matrices may have complex eigenvalues.
formula source code
The following is a copyable LaTeX expression.
A\mathbf v=\lambda\mathbf v
Reference and Extended Learning
MIT OpenCourseWare · Linear Algebra ↗is organized according to model definition and assumptions. Please check actual conditions and original literature before engineering, research and clinical use.
eigenvalueeigenvector