# NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.3

NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.3 Matrices in Hindi Medium as well as English Medium based on the Latest CBSE Curriculum 2020-21 for UP Board and CBSE board Students free to download.

Download (Exercise 3.3) in PDF file form or go for study online given below. We are working to provide all the content to students free of cost. No login or password is required to access the contents on this website.## NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.3

Class: | 12 |

Subject: | Maths |

Chapter 3: | Exercise 3.3 |

### 12th Maths Exercise 3.3 Solutions

NCERT Solutions for Class 12 Maths Chapter 3 Exercise 3.3 Matrices in English as well as Hindi Medium are given below to download in PDF form updated for new academic session 2020-2021. Option for download is also given to use these NCERT Solutions offline. Get all the exercises of Class 12 Mathematics Chapter 3 from the main page. Download NCERT Books and other textbooks confined to latest CBSE Syllabus and NIOS boards.

### Exercise 3.3 Solutions in Hindi & English

#### Questions on Matrices with Answers

1. In a certain city there are 30 colleges. Each college has 15 peons, 6 clerks, 1 typist and 1 section officer. Express the given information as a column matrix. Using scalar multiplication, find the total number of posts of each kind in all the colleges.

2. Using determinants, find the equation of line passing through (0, 3) and (1, 1). [Answer: 2x + y = 3]

3. If A be any square matrix of order 3 × 3 and |A| = 5, then find the value of |adj(adjA)|. [Answer: 625]

##### Questions from Board Papers

1. There are two families A and B. There are 4 men, 6 women and 2 children in family A and 2 men, 2 women and 4 children in family B. The recommended daily allowance for calories is Man: 2400, woman: 1900, child: 1800 and for proteins is Man: 55 gm, woman: 45 gm and child: 33 gm. Represent the above information by matrices. Using matrix multiplication, calculate the total requirement of calories and proteins for each of the two families.

2. What is the number of all possible matrices of order 2 × 3 with each entry 0, 1 or 2. [Answer: 729]

3. Given a square matrix A of order 2 × 3 such that |A| = 12, find the value of |A.adjA|. [Answer: 1728]

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