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Definition of matrix multiplication in terms of column vectors
Definition of matrix multiplication
Theorem describing matrix multiplication
Any matrix times the 0 matrix equals the 0 matrix.
Example of multiplying 2x2 matrices
Example of multiplying 3x3 matrices
Example of multiplying nonsquare matrices
Example of multiplying matrices
Matrix multiplication is associative.
Matrix multiplication is distributive over matrix addition.
The identity matrix is the identity for matrix multiplication.
Matrix multiplication is not commutative in general.
For matrices
Matrix multiplication can be viewed as the dot product of a row vector of column vectors with a column vector of row vectors
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Theorem describing matrix multiplication
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Multiplication