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Matrices & Linear Algebra

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