# NCERT Solutions for Class 12 Maths Chapter 3 Miscellaneous Exercise

NCERT Solutions for Class 12 Maths Chapter 3 Miscellaneous Exercise 3 Matrices in Hindi Medium as well as English Medium free to download in PDF form or use online given below for academic session 2020-21.

These are updated form of NCERT Textbook Solutions for the academic year 2020-21 for CBSE and UP Board scholars who are using NCERT Books as a course books. Download (Miscellaneous Exercise 3 & विविध प्रश्नावली ३) in PDF format.## NCERT Solutions for Class 12 Maths Chapter 3 Miscellaneous Exercise

Class: | 12 |

Subject: | Maths |

Chapter 3: | Miscellaneous Exercise |

### 12th Maths Miscellaneous Exercise 3 Solutions

NCERT Solutions for Class 12 Maths Chapter 3 Miscellaneous Exercise 3 Matrices in English and Hindi Medium free to download as well as use it online given below for new academic session 2020-2021. Get all the exercises of Class 12 Mathematics Chapter 3 main page. Download NCERT Books based on latest CBSE Syllabus for new session. Ask your questions related to Science, Maths and other subjects in NIOS or CBSE board through discussion forum.

### Miscellaneous Exercise 3 Solutions in Hindi & English

#### Important Questions with Answer on Matrices

1. Using matrix method, solve the system of linear equations: x – 2y = 10, 2x – y – z = 8 and – 2y + z = 7. [Answer: x = 0, y = – 5, z = – 3]

2. If A = [aij] is a 2 × 2 matrix such that aij = i + 2j, write A.

3. To raise money for an orphanage, students of three schools A, B and C organized an exhibition in their locality, where they sold paper bags, scrap books and pastel sheets made by them using recycled paper, at the rate of ₹20, ₹15 and ₹5 per unit respectively. School A sold 25 paper bags, 12 scrap books and 34 pastel sheets. School B sold 22 paper bags, 15 scrap books and 28 pastel sheets. While school C sold 26 paper bags, 18 scrap books and 36 pastel sheets. Using matrices, find the total amount raised by each school. [Answer: School A = ₹850, School B = ₹805 and School C = ₹970]

##### Questions from Board Papers

1. If A = [aij] is a square matrix such that aij = i² – j², then write whether A is symmetric or skew-symmetric.

2. Two cricket teams honoured their players for three values, excellent batting, to the point bowling and unparalleled fielding by giving x, y and z per player respectively. The first team paid respectively 2, 2 and 1 players for the above values with a total prize money of 11 lakhs, while the second team paid respectively 1, 2 and 2 players for these values with a total prize money of 9 lakhs. If the total award money for one person each for these values amount to 6 lakhs, then express the above situation as a matrix equation and find award money per person for each value. [Answer: Excellent batting = 3 lakhs, Point bowling = 2 lakhs and Fielding = 1 lakhs]

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