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Assuming "eigenvector" is a general topic | Use as a computation or referring to a mathematical definition instead
Mathematics
Matrices & Linear Algebra

Matrix Arithmetic

do basic arithmetic on matrices

Matrix Operations

compute properties of a matrix
compute the rank of a matrix
compute the inverse of a matrix
compute the adjugate of a matrix

Trace

compute the trace of a matrix

Determinant

compute the determinant of a matrix

Row Reduction

row reduce a matrix

Eigenvalues & Eigenvectors

compute the eigenvalues of a matrix
compute the eigenvectors of a matrix
compute the characteristic polynomial of a matrix

Diagonalization

diagonalize a matrix
compute the LU decomposition of a square matrix
compute a singular value decomposition
compute a 2 x 2 rotation matrix
compute a 3 x 3 reflection matrix

Types of Matrices

determine whether a matrix has a specified property
get information about a type of matrix
specify a size

Vector Spaces

compute the row space of a matrix
compute the column space of a matrix
compute the null space of a matrix

Linear Independence

determine whether a set of vectors is linearly independent
specify complex vectors
specify vectors with one or more symbolic components
 
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