Definition:Conformable Matrices
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Definition
Let $\mathbf A$ and $\mathbf B$ be matrices.
Let the order of $\mathbf A$ be $a_r \times a_c$.
Let the order of $\mathbf B$ be $b_r \times b_c$.
Then $\mathbf A$ and $\mathbf B$ are conformable if either:
- $a_r = b_c$
or:
- $b_r = a_c$
or both.
That is, if the number of rows of one is equal to the number of columns of the other.
Also see
- Definition:Matrix Product (Conventional): defined on $\mathbf A$ and $\mathbf B$ if and only if $\mathbf A$ and $\mathbf B$ are conformable
- Results about conformable matrices 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