Question

Q.No.3 If A and B are matrices such
that A+B and BA are both defined,
then
O
A and B can be any matrices
O
A, B are square matrices not
necessarily of same order
0 O
A, B are square matrices of same
order
O
number of columns of A= number
of rows of B​

Answer 1

Given:

A+B and BA are defined

To find:

Most appropriate answer in the given alternatives

Solution:

Since A+B is defined, we have

A and B must be of same order........(1)

Since BA is defined, we have

Number of columns of B must be number of rows of A.......(2)

A and B must satisfy conditions (1) and (2)

The only possibility is

A and B must be square matrices of same order

Answer:

Option (3) is correct