Home / Linear algebra / Matrix scaling
Properties
For all matrices \(A, B\) and scalars \(c, d\), it
commutes, so
\(c A = A c\),
associates, so
\(c (d A) = (c d) A\),
distributes over matrix addition, so
\(c (A + B) = c A + c B\), and
has exactly one multiplicative identity: \(1\), so
\(1 A = A\).