Definition:Matrix Product (Conventional)/Conformable
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Definition
Let $\mathbf A$ and $\mathbf B$ be matrices.
It needs to be emphasised that matrix product can be defined on $\mathbf A$ and $\mathbf B$ if and only if $\mathbf A$ and $\mathbf B$ are conformable.
That is, if the number of rows of one is equal to the number of columns of the other.
Also see
- Results about (conventional) matrix multiplication can be found here.
Sources
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): conformable matrices
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): conformable matrices