Three matrices are given: of order

MATHEMATICS · Multi-part · CBSE · Mathematics · Matrices · Matrices

Problem

Three matrices are given:

M

of order

3\times4

N

of order

4\times3

, and

R

of order

3\times2

. (a) From the set

\{MN,\,NR,\,RM,\,NM,\,RN,\,MR\}

, list all the products that are defined and state the order of each. (b) Is the product

MNR

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