evector
noun as in strong fondness
Word Combinations
Example:The eigenvalues and eigenvectors of a matrix can be used to analyze the system's stability.
Definition:The scalar factor by which an evector is multiplied during a linear transformation. It is used in eigenvalue problems and is crucial in understanding the behavior of systems under linear transformations.
Example:The spectral theorem is fundamental in quantum mechanics, where it is used to describe the possible states of a quantum system.
Definition:A theorem in linear algebra that states that every normal matrix (and thus every Hermitian or unitary matrix) has a basis of eigenvectors. It essentially describes the properties of matrices in terms of their eigenvalues and eigenvectors.
Example:The concept of e-vectors is central to the study of linear transformations in vector spaces.
Definition:A function between two vector spaces that preserves the operations of vector addition and scalar multiplication. E-vectors are a key concept in understanding linear transformations.
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