Conformable matrix

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 dimension. Thus A, B and C all must have dimensions m × n in the equation

$A+B=C$

for some fixed m and n.

• For matrix multiplication, consider the equation

$AB=C.$

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

See also

• Linear algebra