# NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 4: Determinant (Part VIII)

NCERT Solutions for CBSE Class 12 Maths Chapter 4 - Determinant (Exercise 4.5) are available here. In this article, you will get solutions for Exercise 4.5 from question number 12 to question number 18. In these questions, you have to find the inverse of the matrices (if exists). These questions are important for CBSE Class 12 board exams. These questions can be also asked in MCQ (multiple choice questions) format.

*NCERT Solutions for CBSE Class 12th Maths, Chapter 4: Determinant (Exercise 4.5) from question number 12 to 16 are given below:*

**Question 12:**

**Solution 12:**

**NCERT Exemplar CBSE Class 12 Mathematics - All Chapters**

**Question 13:**

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**Solution 13:**

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**Question 14:**

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**Solution 14:**

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**Question 15:**

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**Solution 15:**

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**Question 16:**

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**Solution 16:**

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**Question 17:**

Let A be a non-singular square matrix of order 3 × 3. Then |*adj* A| is equal to

(A) |A|

(B) |A|^{2}

(C) |A|^{3}

(D) 3 |A|

**Solution 17:**

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**Question 18:**

If A is an invertible matrix of order 2, then det (A^{‒1}) is equal to

(A) det (A)

(B) 1/[det (A)]

(C) 1

(D) 0

**Solution 18:**

**Download NCERT Solutions for Class 12 Maths - Chapter 4 (Determinant) in PDF format**