• If r represent scalar elements and A, B and C represent matrices:

• A(BC) = (AB)C
  shows that a the order in which matrices are multiplied can be disregarded
• Example
• A(B+C) = AB+AC
  shows that matrices obeys distributive properties when the matrix A is being multiplied from the left side
• Example
• (B+C)A = BA +CA
• shows that matrices obeys distributive properties when the matrix A is being multiplied from the right side
• Example

• r(AB) = (rA)B = A(rB)
• shows that when matrices are being multiplied by a scalar element, the order in which multiplication takes place can be disregarded
• Example
• ImA = A = AIn
• shows that when a matrix is multiplied by the indentity matrix, the product is the same as the original matrix
• Example

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