Determinants Matrices Question 106
Question: Let A and B be two matrices of order $ n\times n $ . Let A be non-singular and B be singular. Consider the following:
- AB is singular
- AB is non-singular
- $ {A^{-1}}B $ is singular
- $ {A^{-1}}B $ is non singular Which of the above is/ are correct-
Options:
A) 1 and 3
B) 2 and 4 only
C) 1 only
D) 3 only
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] If A is non-singular and B is singular, then AB and $ {A^{-1}}B $ are non-singular. Statements (2) and (4) are correct.
BETA
