Conformable matrix
From Wikipedia, the free encyclopedia
In mathematics, a matrix is conformable if its dimensions are suitable for defining some operation (e.g. addition, multiplication, etc.).
[edit] 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
-
- A + B = C
- for some fixed m and n.
- For matrix multiplication, consider the equation
-
- 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.