eigenspaceistä
Eigenspace is a fundamental concept in linear algebra, closely related to eigenvalues. For a given square matrix A, an eigenspace associated with an eigenvalue lambda is the set of all vectors v such that Av = lambda v. This means that when the matrix A acts on a vector within its eigenspace, the resulting vector is simply a scaled version of the original vector, with the scaling factor being the eigenvalue.
An eigenspace is always a subspace of the vector space on which the matrix operates. This implies
To find an eigenspace for a specific eigenvalue lambda, one typically solves the homogeneous system of linear
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