Question

If three matrices A, B and C follows Right Distributive Property, then their orders respectively can be:

• A. $p\times q,q\times randq\times r$
• B. $p\times q,p\times qandq\times r$
• C. $p\times q,q\times randr\times s$
• D. $p\times q,p\times qandp\times q$

Answer 1

The correct option is A $p\times q,q\times randq\times r$

If three matrices A, B and C follows Right Distributive Property,
$i.e.,A(B+C)=AB+AC$
Hence, order of the matrices should be:
$A_{p\times q},B_{q\times r}and{C}_{q\times r}$