CBSE Class 12th Mathematics Chapter 3 - Matrices Important Questions with Answers

You should focus on solving CBSE Class 12th Mathematics Chapter 3: Matrices important questions, especially to help you score high marks. By solving CBSE Class 12th Mathematics 3 questions, you will be solving exam-oriented questions only.
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Matrices are an integral part of mathematics today and find widespread use in many areas including physics, engineering, economics, and computer science. Chapter 3 - Matrices in the CBSE Class 12 Mathematics curriculum familiarizes students with the basics of matrices, their kinds, operations, and properties. Matrices are important to study as they serve as the stepping stone for further topics such as determinants, linear transformations, and vector spaces. This chapter equips students with the ability to carry out matrix operations, solve systems of linear equations, and investigate the algebraic properties of matrices. The chapter starts with the definition of a matrix, then its order, types, and special matrices including zero matrices, identity matrices, and diagonal matrices. Students are then introduced to matrix operations such as addition, subtraction, and multiplication, and their basic properties. The concept of the inverse of a matrix, also a key to solving problems in the real world, is thoroughly discussed. This is supplemented by the usage of matrices to solve simultaneous linear equations through the matrix method, which is a very practical course of study. To further assist students in learning these ideas, this page also presents a complete set of key questions with answers. The questions are thoughtfully designed to comprise short-answer, long-answer, and application-based problems, guaranteeing complete preparation for board exams.

The significant questions assist the students in practicing crucial problems, enhancing their problem-solving skills, and gaining a better insight into the subject. The solutions are presented following the CBSE exam pattern so that students can learn how to write precise and correct answers. Repeating these key questions will not only increase students' confidence but also improve their skill in solving intricate matrix-related problems effectively. Whether it is revising for exams or clarifying concepts, this resource will be an invaluable aid to learning Matrices and acing the Class 12 Mathematics Board Exam. Prepare thoroughly with the most important questions of CBSE Class 12th Mathematics Chapter 3 - Matrices. You can first cover the CBSE Class 12th Mathematics syllabus to understand the key topics and then start solving the CBSE Class 12th Mathematics Chapter 3 - Matrices Important Questions to get a better understanding of your preparation level. Start practicing now.

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Question 1.

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If 3A – B = [5011] and B = [4325] then find the value of matrix A. (Delhi 2019)

Question 2.

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Find the value of x – y, if (Delhi 2019)
2[130x]+[y012]=[5618]

Question 3.

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If A = [4211], show that (A – 2I) (A – 3I) = 0. (All IndIa 2019C)

Question 4.

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Find a matrix A such that 2A – 3B + 5C = 0, where B = [220314] and C = [202716]. (Delhi 2019)

Question 5.

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If A = [201213110] then find the values of (A2 – 5A). (Delhi 2019)

Question 6.

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A = [201510013] (All India 2019; Foregin 2011)

Question 7.

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A = [112123311] (Delhi 2019; 2012)

Question 8.

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A = [122130021] (Delhi 2019; 2018C; 2010)

Question 9.

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If A = [12221x221] is a matric satisfying AA’ = 9I, find x. (CBSE 2018C)

Question 10.

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If the matrix A = [0a3201b10] is skew-symmetric, find the values of ‘a’ and ‘b’. (CBSE 2018)
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Question 1.

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A = [123257245] (CBSE 2018)

Question 2.

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Find matrix A such that (All India 2017)
[211034]A=[1812922]

Question 3.

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Let A = [2134], B = [5274], C = [2538], find a matrix D such that CD – AB = 0. (Delhi 2017)

Question 4.

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Show that all the diagonal elements of a skew-symmetric matrix are zero. (Delhi 2017)

Question 5.

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If A is a square matrix such that A2 = I, then find the simplified value of (A – I)3 + (A + I)3 – 7A. (Delhi 2016)

Question 6.

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Write the number of all possible matrices of order 2 × 2 with each entry 1, 2 or 3. (All India 2016)

Question 7.

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If [2 1 3] [101110011][101] = A, then write the order of matrix A. (Foregin 2016)

Question 8.

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If A = [102021203] and A3 – 6A2 + 7A + kI3 = 0, find the value of k. (All India 2016)

Question 9.

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If A = [cosαsinαsinαcosα], then find a satisfying 0 < ? < π2 when A + AT = ?2 I2;
where AT is transpose of A. (All India 2016)

Question 10.

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If A = (3579) is written as A = P + Q, where P is a symmetric matrix and Q is skew-symmetric matrix, then write the matrix P. (Foreign 2016)
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