Mathematics

Problem

Three matrices are given:

M

of order

3\times 4

N

of order

4\times 3

and

R

of order

3\times 2

. (i) From the set \{$MN,\,NR,\,RM,\,NM,\,RN,\,MR\}, list all the products that are defined and state the order of each. (ii) Is the product

MNR

defined as written? If yes, state its order; if no, give a reason.