Q. For any real, square and non-singular matrix B , the det B-1 is
(A) zero
(B) (det B)-1
(C) -(det B)
(D) det B
Ans: (det B)-1
Sol:
For any matrix whose inverse exists i.e. non-singular
BB-1 = I
|BB-1| = 1
|B||B-1| = 1
det (B-1) = (det B)-1
![Determine the correctness (or otherwise) of the following Assertion [A] and the Reason [R]](https://www.gkseries.com/blog/wp-content/uploads/2023/10/Determine-the-correctness-or-otherwise-of-the-following-Assertion-A-and-the-Reason-R.jpg)
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