CBSE Class 12 Maths Competency-Based Questions With Answer Key 2024-25: Chapter 3 Matrices FREE PDF Download

CBSE Class 12 Maths Chapter 3 Practice Questions 2025: The 2024-25 Competency-Focused Questions for CBSE Class 12 Mathematics Matrices are given here. Check and download the MCQs and Free Response questions in PDF format.

Sep 16, 2024, 12:08 IST
CBSE Class 12 Maths Matrices Competency-Based Questions For 2025 Exams With Answers.
CBSE Class 12 Maths Matrices Competency-Based Questions For 2025 Exams With Answers.

CBSE 2024-25 Competency-Based Questions With Answers: The Central Board of Secondary Education (CBSE) is the central-level educational board that aims to polish the learning standard for students. Adding competency-based questions (CBQs) is one of the key steps towards that. The CBSE has published the CBQs for Classes 9 to 12 for almost all the subjects.

The CBSE Class 12 Maths Chapter 3 Matrices competency-based practice questions are given in MCQ and free response questions. Check and download the PDFs.

CBSE Class 12 Maths Chapter 3 Competency-Based Questions

The chapter 3 CBQs for Class 12 Maths are given below. The questions provided here are MCQs whose complete PDF is attached at the end of these questions along with Volume 2 with free response questions.

Q:1 T is a matric given by:

On performaing which of the following individual operations, will the matrix T remain the same?

i) C1↔C3

ii) R2 → R2 + 99R3

iii) C2 → (-1)C2

  1. only (i) and (iii) 
  2. only (ii) and (iii)
  3. only (i) and (iii)
  4. all -(i), (ii) and (iii)

Q:2 A teacher gave the following problem to his students.

Three students' solutions are given below.

Who gave the correct answer?

  1. only Ram
  2.  only Aviraj
  3. only Shyama
  4. none of them

Q.3  A and B are two matrices such that the transpose of (A+B) is 

If , which of the following is A? 

Q: 4. In an online advertisement (ad) capaign, there are two options for publicity: picture ads and video ads.

The cost per ad (in Rs) is given by the matrix:

The number of ads run by two compaines X and Y is given by the martix:

To find the total cost of ads for the two compaines, Nahush performs the matrix operation A X B while Divyesh performs the mjatrix operation B x A.

Who is correct?

  1. Only Nahush
  2. Only Divyesh
  3. Both Nahush and Divyesh
  4. Neither Nahush nor Divyesh

Q:5  and B is the inverse of A.

Which of the following is AB?

Q:6 A and B are two matrices such that both products, AB and BA, exist.

Write a condiction on the order of the matrices A and B for the above statement to be true.

Q:7 Identify if the statement below is true of false. If true, give a reason. If false, give a counter-example.

"If A is anon-xero matrix such that A x K is a zero matrix, then K is definitely a zero matrix."

Q:8 The martrix obtained after applying  the column operation [C1 →C1 + (-3) C3] on matrix A is shown below.

Find matrix A. Show your work.

Q:9 A is a 4X3 matrix, which when multipled by matrix B, results in a 4x2 matrix, C.

How many rows and columns does matrix B have? Justify your answer.

Q: 10 

If p A2+ qA+rI=O, where O is the zero matrix and p, q and r are integers, find the value of (-q/p). Show your steps.

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To download this complete set of questions with the solutions and get more diverse options, click on the links below:

CBSE Class 12 Maths Chapter 3 matrices Competency Focused Questions 2024-25 With Answers Volume 1

Download PDF

CBSE Class 12 Maths Chapter 3 matrices Competency Focused Questions 2024-25 With Answers Volume 2

Download PDF

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