Share
Notifications

View all notifications
Advertisement

Operations on Matrices - Properties of Multiplication of Matrices

Login
Create free account


      Forgot password?

notes

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.

Shaalaa.com | Matrices part 26 (Property matrices multiplication)

Shaalaa.com


Next video


Shaalaa.com


Matrices part 26 (Property matrices multiplication) [00:01:02]
S
Series: 1
0%


Advertisement
View in app×