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Mathematics-Online course: Linear Algebra - Matrices - Matrix Operations

# Matrix Multiplication

The product of two matrices and is the -Matrix defined by

The product is defined only if the number of columns of equals the number of rows of .

We can interpret the matrix product as follows: The element of product matrix is the ,,scalar product of the -th row vector of and the -th column vector of :

Matrix multiplication corresponds to composition of linear maps

that is, is the matrix representation of .

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 automatically generated 4/21/2005