![Let ๐ be a square matrix. Consider the following two statements on ๐.](https://www.gkseries.com/blog/wp-content/uploads/2023/08/If-๐ฟ-is-a-regular-language-over-ฮฃ-๐-๐-which-one-of-the-following-languages-is-NOT-regular-1.jpg)
Q. Let ๐ be a square matrix. Consider the following two statements on ๐.
- ๐ is invertible.
- Determinant of ๐ is non-zero.
Which one of the following is TRUE?
(A) I implies II; II does not imply I.
(B) II implies I; I does not imply II.
(C) I does not imply II; II does not imply I.
(D) I and II are equivalent statements.
Ans:ย I and II are equivalent statements
Solution:
![](https://www.gkseries.com/blog/wp-content/uploads/2023/08/Screenshot-482.png)