This question was previously asked in

GATE PI 2019 Official Paper

- Zero
- (det B)
^{-1} - -(det B)
- det B

Option 2 : (det B)^{-1}

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**Concept:**

**Non-Singular Matrix:**

A non-singular matrix is a **square** one whose **determinant is not zero**.

**Calculation****:**

__Given__:

**For any matrix whose inverse exists i.e. non-singular**

BB^{-1} = I

|BB^{-1}| = 1

|B||B^{-1}| = 1

**\(|B^{-1}|=\frac{1}{|B|}=|B|^{-1}\)**

**or **

**det (B ^{-1}) = (det B)^{-1}**

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