Let A and B be two matrices of order\[n\times n\]. Let A be non-singular and B be singular. Consider the following: 1. AB is singular 2. AB is non-singular 3. \[{{A}^{-1}}B\] is singular 4.\[{{A}^{-1}}B\] is non singular Which of the above is/ are correct?

Let A and B be two matrices of order\[n\times n\]. Let A be non-singul

1.	Let A and B be two matrices of order\[n\times n\]. Let A be non-singular and B be singular. Consider the following: 1. AB is singular 2. AB is non-singular 3. \[{{A}^{-1}}B\] is singular 4.\[{{A}^{-1}}B\] is non singular Which of the above is/ are correct?
A.	1 and 3
B.	2 and 4 only
C.	1 only
D.	3 only
Answer» C. 1 only

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Let A and B be two matrices of order\[n\times n\]. Let A be non-singular and B be singular. Consider the following: 1. AB is singular 2. AB is non-singular 3. \[{{A}^{-1}}B\] is singular 4.\[{{A}^{-1}}B\] is non singular Which of the above is/ are correct?

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