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Matrix-vector multiplication is a linear transformation.
Matrix-vector product is associative
Matrix-vector products
Multiplication
Multiplication by a change of coordinates matrix converts representations for different bases.
Multiplication by a Hermitian matrix commutes with the standard inner product on C^n.
Multiplication of block/partitioned matrices
Multiplicity
Multiplying a row by a scalar multiplies the determinant by that scalar.
Nilpotent matrices
Non-example of a linear transformation
Nonsingular matrices and equivalences
Normal matrices
Norm and length
Notation for entry of matrix
Notation for the set of m by n matrices
Operations on matrices
Orthogonality
Orthogonality and projection
Parametric form of the solution set of a system of linear equations
Parametric vector form of the solution set of a system of linear equations
Particular types of matrices
Projection
Proof of several equivalences for nonsingular matrix
QR decomposition

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