Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12

Algebraic Operations on Matrices - Properties of Multiplication of Matrices

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  • The associative law
  • The distributive law
  • The existence of multiplicative identity


The multiplication of matrices possesses the following properties, which we state without proof. 
1. The associative law For any three matrices A, B and C. We have (AB) C = A (BC), whenever both sides of the equality are defined.
2. The distributive law For three matrices A, B and C.
(i) A (B+C) = AB + AC
(ii) (A+B) C = AC + BC, whenever both sides of equality are defined.
3. The existence of multiplicative identity For every square matrix A, there exist an identity matrix of same order such that IA = AI = A.

If you would like to contribute notes or other learning material, please submit them using the button below. | Matrices part 26 (Property matrices multiplication)

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Matrices part 26 (Property matrices multiplication) [00:01:02]
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