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linear systems
gaussian elimination
matrices
matrix multiplication
matrix transpose
basis vectors
cramer's rule
determinants
diagonalization
dimensions
eigenvectors
elementary matrices
inverse of square matrices
least square approximation
linear combinations
linear independence
linear transformation
LU factorization
markov chains
matrix minor
matrix spaces
orthogonal bases
orthogonal diagonalization
orthogonal projection
orthogonality
QR factorization
range & kernel
row echelon form
special matrices
subspaces
SVD
transition matrices
vectors in Rⁿ