• If r and s represent scalar elements and A and B represent matrices of the same size:
  

• r(A+B) = rA+rB
  shows that a scalar element can be multiplied by two matrices
• Example
• (r+s)A = rA+sA
  shows that a matrix can be multiplied by two scalar elements
• Example
  

• r(sA) = (rs)A
  shows that a when multiplying two scalar elements and a matrix, the order in which elements are multiplied can be disregarded
• Example

Next