# NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 3: Matrices (Part X)

Find Class 12 Maths NCERT Solutions for Chapter 3 Matrices. In his article, you will get the detailed solution of exercise 3.4 (from question number 10 to question number 17). Most of the questions given here are based on concepts related to Inverse of a matrix by elementary operations etc., Elementary Operation (Transformation) of a Matrix, Invertible Matrices etc. These questions are also important for Class 12 Maths board exam 2018 and other competitive exams like WBJEE, JEE Mains, UPSEE etc.

*NCERT Solutions for CBSE Class 12th Maths, Chapter 3: Matrices (Exercise 3.4) from question number 10 to 17 are given below:*

**Question 10:**

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**Solution 10:**

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**Question 11:**

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**Solution 11:**

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**Question 12:**

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**Solution 12:**

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**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:**

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**Solution 17:**

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**Question 18:**

Matrices A and B will be inverse of each other only if

(A) AB = BA

(B) AB = 0, BA = I

(C) AB = BA = 0

(D) AB = BA = I

**Solution 18:**

If *A* is a square matrix of order *m*, If there exists another square matrix *B* of the same order *m*, such that *AB* = *BA *= *I*,

Then, *B *= *A*^{‒1}

In this case, it is clear that *A* is the inverse of *B*.

Correct option is (D).

**Donwload NCERT Solution for Class 12 Maths (Chapter 3 - Matrices) in PDF format**