Read and download free pdf of CBSE Class 12 Mathematics Matrices Worksheet. Students and teachers of Class 12 Mathematics can get free printable Worksheets for Class 12 Mathematics Chapter 3 Matrices in PDF format prepared as per the latest syllabus and examination pattern in your schools. Class 12 students should practice questions and answers given here for Mathematics in Class 12 which will help them to improve your knowledge of all important chapters and its topics. Students should also download free pdf of Class 12 Mathematics Worksheets prepared by school teachers as per the latest NCERT, CBSE, KVS books and syllabus issued this academic year and solve important problems with solutions on daily basis to get more score in school exams and tests

## Worksheet for Class 12 Mathematics Chapter 3 Matrices

Class 12 Mathematics students should refer to the following printable worksheet in Pdf for Chapter 3 Matrices in Class 12. This test paper with questions and answers for Class 12 will be very useful for exams and help you to score good marks

### Class 12 Mathematics Worksheet for Chapter 3 Matrices

CBSE Class 12 Mathematics Worksheet - Matrices. CBSE issues sample papers every year for students for class 12 board exams. Students should solve the CBSE issued sample papers to understand the pattern of the question paper which will come in class 12 board exams this year. The sample papers have been provided with marking scheme. It’s always recommended to practice as many CBSE sample papers as possible before the board examinations. Sample papers should be always practiced in examination condition at home or school and the student should show the answers to teachers for checking or compare with the answers provided. Students can download the sample papers in pdf format free and score better marks in examinations. Refer to other links too for latest sample papers.

**Question. The number of all possible matrices of order 3x3 with each entry 0 or 1 is:**

(a) 27

(b) 18

(c) 81

(d) 512**Answer : D**

**Question. Matrix A and B will be inverse of each other only if**

(a) AB = BA

(b) AB = BA = 0

(c) AB = 0, BA = I

(d) AB = BA = I**Answer : D**

**Question. If A and B are symmetric matrices of same order, then AB-BA is a**

(a) Skew-symmetric matrix

(b) Symmetric matrix

(c) Zero matrix

(d) Identity**Answer : A**

**Question. If A is a square matrix such that A ^{2} = A, then (I + A)^{2} – 3A is**

(a) I

(b) 2A

(c) 3I

(d) A

**Answer : A**

**Question. If a matrix has 6 elements, then number of possible orders of the matrix can be**

(a) 2

(b) 4

(c) 3

(d) 6**Answer : B**

**Question. Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is**

(a) 6

(b) 36

(c) 32

(d) 64**Answer : D**

**Question. The diagonal elements of a skew symmetric matrix are**

(a) all zeroes

(b) are all equal to some scalar k(≠ 0)

(c) can be any number

(d) none of these**Answer : A**

**Question. If matrix A is of order m × n, and for matrix B, AB and BA both are defined, then order of matrix B is**

(a) m × n

(b) n × n

(c) m × m

(d) n × m**Answer : D**

**Question. If a matrix A is both symmetric and skew symmetric then matrix A is**

(a) a scalar matrix

(b) a diagonal matrix

(c) a zero matrix of order n × n

(d) a rectangular matrix.**Answer : C**

**Question. A matrix has 18 elements, then possible number of orders of a matrix are **

(a) 3

(b) 4

(c) 6

(d) 5**Answer : C**

**CASE STUDY QUESTIONS**

1.A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets.

If the unit Sale price of Pencil, Eraser and Sharpener are ₹ 2.50, ₹ 1.50 and ₹ 1.00 respectively, and unit cost of the above three commodities are ₹ 2.00, ₹ 1.00 and ₹ 0.50 respectively, then, based on the above information answer the following:

**Question. Total revenue of market A **

(i) ₹ 64,000

(ii) ₹ 60,400

(iii) ₹ 46,000

(iv) ₹ 40,600**Answer : III**

**Question. Total revenue of market B**

(i) ₹ 35,000

(ii) ₹ 53,000

(iii) ₹ 50,300

(iv) ₹ 30,500**Answer : II**

**Question. Cost incurred in market A**

(i) ₹ 13,000

(ii) ₹ 30,100

(iii) ₹ 10,300

(iv) ₹ 31,000**Answer : IV**

**Question. Profit in market A and B respectively are**

(i) (₹ 15,000, ₹ 17,000)

(ii) (₹ 17,000, ₹ 15,000)

(iii) (₹ 51,000, ₹ 71,000)

(iv) (₹ 10,000, ₹ 20,000)**Answer : I**

**Question. Gross profit in both market **

(i) ₹ 23,000

(ii) ₹ 20,300

(iii) ₹ 32,000

(iv) ₹ 30,200**Answer : III**

**ASSERTION AND REASON**

**1.In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).****Mark the correct choice as.**

(A) Both A and R are true and R is the correct explanation of A

(B) Both A and R are true but R is not the correct explanation of A

(C) A is true but R is false

(D) A is False and R is True.

**Question. Let A and B be the two symmetric matrices of order 3****Assertion (A) : A(BA) and (AB)A are symmetric matrices****Reason (R) : AB is symmetric matrix if matrix multiplication of A with B is commutative .****Answer : B**

**Question. Assertion (A) : If A is a square matrix such that A2 = A , then ( I + A ) ^{2} – 3A = I**

**Reason (R) : AI = IA = A**

**Answer : A**

**Question. Assertion (A) : (A + B ) ^{2}≠ A^{2} + 2AB + B^{2}**

**Reason (R) : Generally AB ≠ BA**

**Answer : A**

**Question. Assertion (A) : If A and B are symmetric matrices , then AB – BA is a skew-symmetric matrix.****Reason (R) : (AB)’ = B’ A’****Answer : A**

**Question. Assertion (A) : If A is a symmetric matrix, then B’AB is also symmetric****Reason (R) : (ABC)’ = C’B’A’****Answer : A**

**Question. A and B are two matrices such that AB and BA are defined****Assertion (A) : (A + B ) ( A – B ) = A ^{2} – B^{2}**

**Reason (R) : ( A + B ) ( A – B ) = A**

^{2}– AB + BA – B^{2}**Answer : D**

**Please click the link below to download full pdf file for ****CBSE Class 12 Mathematics Worksheet - Matrices****.**

CBSE Class 12 Mathematics Matrices Worksheet |

## More Study Material

### CBSE Class 12 Mathematics Chapter 3 Matrices Worksheet

We hope students liked the above worksheet for Chapter 3 Matrices designed as per the latest syllabus for Class 12 Mathematics released by CBSE. Students of Class 12 should download in Pdf format and practice the questions and solutions given in the above worksheet for Class 12 Mathematics on a daily basis. All the latest worksheets with answers have been developed for Mathematics by referring to the most important and regularly asked topics that the students should learn and practice to get better scores in their class tests and examinations. Studiestoday is the best portal for Class 12 students to get all the latest study material free of cost.

### Worksheet for Mathematics CBSE Class 12 Chapter 3 Matrices

Expert teachers of studiestoday have referred to the NCERT book for Class 12 Mathematics to develop the Mathematics Class 12 worksheet. If you download the practice worksheet for one chapter daily, you will get higher and better marks in Class 12 exams this year as you will have stronger concepts. Daily questions practice of Mathematics worksheet and its study material will help students to have a stronger understanding of all concepts and also make them experts on all scoring topics. You can easily download and save all revision worksheet for Class 12 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the worksheet which have been developed as per the latest course books also refer to the NCERT solutions for Class 12 Mathematics designed by our teachers

**Chapter 3 Matrices worksheet Mathematics CBSE Class 12**

All worksheets given above for Class 12 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 12 can be rest assured that the answers have been also provided by our teachers for all worksheet of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided a lot of MCQ questions for Class 12 Mathematics in the worksheet so that you can solve questions relating to all topics given in each chapter. All study material for Class 12 Mathematics students have been given on studiestoday.

**Chapter 3 Matrices CBSE Class 12 Mathematics Worksheet**

Regular worksheet practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 3 Matrices concepts. Worksheets play an important role in developing an understanding of Chapter 3 Matrices in CBSE Class 12. Students can download and save or print all the worksheets, printable assignments, and practice sheets of the above chapter in Class 12 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 12 Mathematics MCQ Test for the same chapter.

**Worksheet for CBSE Mathematics Class 12 Chapter 3 Matrices**

CBSE Class 12 Mathematics best textbooks have been used for writing the problems given in the above worksheet. If you have tests coming up then you should revise all concepts relating to Chapter 3 Matrices and then take out a print of the above worksheet and attempt all problems. We have also provided a lot of other Worksheets for Class 12 Mathematics which you can use to further make yourself better in Mathematics

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