NCERT Class 12 Mathematics Chapter 3 Matrices MCQs & PYQ

In NCERT Class 12 Mathematics Chapter 3, titled Matrices, students explore the concepts of matrices and their operations. The chapter covers important topics like types of matrices, addition, multiplication, and properties of matrices. It also introduces the concept of determinants, inverse of a matrix, and the application of matrices in solving linear equations. Understanding these concepts is essential for students as matrices play a crucial role in algebra and calculus, particularly in systems of linear equations and transformations.
This article provides a comprehensive resource for exam preparation. It includes sample MCQs and subjective questions for CBSE and CUET, alongside downloadable PDFs of Class 12 Mathematics Chapter 3 MCQs and previous year questions for detailed practice of NCERT Class 12 Matrices.
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Class 12 Mathematics Chapter 3 MCQs
This question bank includes previous years' CUET and CBSE MCQs, along with questions curated by subject experts. Below are 5 sample multiple-choice questions (MCQs) for Class 12 Mathematics Chapter 3: Matrices. For the full set of 50 questions, download the PDF using the link provided below.
1.
If 𝐴 is a 2 × 3 matrix such that 𝐴𝐵 and 𝐴𝐵′ both are defined, then order of matrix 𝐵 is
(a) 2 × 2           (b) 2 × 1           (c) 3 × 2           (d) 3 × 3
2.
If A is a 3 × 4 matrix and B is a matrix such that A′B and AB′ are both defined, then the order of the matrix B is :
(a) 3 × 4           (b) 3 × 3           (c) 4 × 4           (d) 4 × 3
3.
If A =  and 2A + B is a null matrix, then B is equal to :
(a) (b) (c) (d)
4.
If A = and (3 I + 4 A) (3 I - 4 A) = x2 I, then the value(s) of x is/are:
(a) ± √ 7           (b) 0     (c) ± 5 (d) 25
5.
If A = , then A2023 is equal to
(a) (b) (c) (d)
 
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Class 12 Mathematics Chapter 3 Subjective Questions Without Solutions
This question bank includes previous years' CBSE subjective questions (2 marks and above) without solutions, along with expert-curated questions. Below are 5 sample subjective questions for Class 12 Mathematics Chapter 3: Matrices. To access all questions, download the PDF from the link provided below.
1.
Ifand, find scalar k so that A2 + I = kA.
(CBSE 2020, 2M)
2.
Find a matrix A such that 2A – 3B + 5C = O, whereand
(CBSE 2019, 2M)
3.
If, show that (A – 2I) (A – 3I) = O.
(CBSE 2019, 2M)
4.
Find the value of (x – y) from the matrix equation
(CBSE 2019, 2M)
5.
If, and, then find the values of k, a and b.
(CBSE 2019, 2M)
 
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NCERT Mathematics Topics
Chapter Name
Sub Topics

The d- and f-Block Elements

3.1 Introduction
3.2 Types of Matrices
3.3 Operations on Matrices
3.4 Determinants
3.5 Inverse of a Matrix
3.6 Applications of Matrices
3.7 Solution of Linear Equations using Matrices
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Review of NCERT Class 12 Mathematics Chapter 3
NCERT Class 12 Mathematics Chapter 3, Matrices, covers the foundational aspects of matrices and their applications in solving systems of linear equations and various algebraic problems. The chapter emphasizes matrix operations, the inverse of a matrix, and how matrices can be used to represent and solve real-world problems.
This chapter is vital for students to understand not only the theoretical aspects of matrices but also their practical applications in higher mathematics, physics, and engineering. By mastering the concepts in this chapter, students will enhance their ability to solve complex algebraic equations and prepare efficiently for exams like CBSE, CUET, and other competitive exams.
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