Conformable matrix

"Conformable" redirects here. For the topic in geology, see Unconformity.

In mathematics, a matrix is conformable if its dimensions are suitable for defining some operation (e.g. addition, multiplication, etc.).

Examples

• In order to be conformable to addition, matrices need to have the same dimensions. Thus A, B and C all must have dimensions m × n in the equation

${\displaystyle A+B=C}$ 

for some fixed m and n.

• For matrix multiplication, consider the equation

${\displaystyle AB=C.}$ 

If A has dimensions m × n, then B has to have dimensions n × p for some p, so that C will have dimensions m × p.

See also

• Linear algebra