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The sum and product of matrices A and B ...

The sum and product of matrices A and B exist. Which of the following implications are necessarily true ?
1. A and B are square matrices of same order.
2. A and B are non-singular matrices
Select the correct answer using the code given below :

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
A
(1) Since sum of matrices exist therefore A and B are square matrices of same order.
(2) Non-singularity of A and B does not depend on sum and product of A and B.
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