# NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2

NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2 Matrices in Hindi Medium as well as English Medium free for CBSE & UP Board students following CBSE Syllabus 2020-2021.

Download (Exercise 3.2) in PDF format to use offline also. Discussion forum is being maintained to ask your doubts and discuss the questions with each other.## NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2

Class: | 12 |

Subject: | Maths |

Chapter 3: | Exercise 3.2 |

### 12th Maths Exercise 3.2 Solutions

NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.2 Matrices Hindi Medium as well as English Medium to use online or download from the link given at the page. Get here all the exercises of Class 12 Mathematics Chapter 3. NCERT Books 2020-21 and offline apps for class 12 based on latest CBSE Syllabus are given to download to use offline. For the query of NIOS board can be discuss in Discussion Forum.

### Exercise 3.2 Solutions in Hindi & English

#### Important Questions for Practice

1. If A is a square matrix such that A² = I, then write the value of (A – I)³ + (A + I)³ – 7A in the simplest form.

2. Give an example of (i) a row matrix which is also a column matrix. (ii) a diagonal matrix which is not scalar and (iii) a triangular matrix.

3. If A is a 3×3 matrix, |A| ≠ 0 and |3A| = k |A|, then write the value of k. [Answer: k = 27]

4. The sales figure of two car dealers during January 2017 showed that dealer A sold 5 deluxe, 3 premium and 4 standard cars, while dealer B sold 7 deluxe, 2 premium and 3 standard cars. Total sales over the 2 month period of January – February revealed that dealer A sold 8 deluxe, 7 premium and 6 standard cars. In the same 2 month period, dealer B sold 10 deluxe, 5 premium and 7 standard cars. Write 2×3 matrices summarizing sales data for January and 2 – month period for each dealer.

##### Questions From Board Papers

1. If A is a square matrix, expressed as A = X + Y where X is symmetric and Y is skew-symmetric, then write the values of X and Y. [Answer: X = ½ (A + A’) and Y = ½ (A – A’)]

2. Write a matrix of order 3×3 which is both symmetric and skew symmetric matrix. [Answer: Zero matrix]

3. If A and B are square matrices of order 3 and |A| = 5 and |B| = 3, then find the value of |3AB|. [Answer: 405]

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