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Consider the following statements. I. ...

Consider the following statements.
I. The inverse of a square matrix, if it exists, is unique.
II. If A and B are singular matrices of order n, then AB is also a singular matrix of order n.
Which of the statements given above is/are correct ?

A

Only I

B

Only II

C

Both I and II

D

Neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
A
The inverse of a square matrix if it exists, is unique but if A and B are singular matrices of order n, then AB is not a singular matrices of order n.
Hence, only statement I is correct.
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