Matriseegenvær
Matriseegenvær, often translated as "matrix eigenvalue," refers to the scalar values that are associated with a matrix and are fundamental to understanding its properties. In linear algebra, an eigenvalue (egenverdi) of a square matrix is a scalar λ such that there exists a non-zero vector v, called an eigenvector (egenvektor), satisfying the equation Av = λv, where A is the matrix. This equation signifies that when the matrix A acts on its eigenvector v, the result is simply a scaled version of v, with the scaling factor being the eigenvalue λ.
Eigenvalues and eigenvectors reveal crucial information about a linear transformation represented by a matrix. They indicate
The characteristic equation, det(A - λI) = 0, where I is the identity matrix and det denotes the