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MCQs are a great way to test students' knowledge of an entire chapter by combining questions from all sections. This is why RD Sharma class 12th exercise MCQ can be highly beneficial to students preparing for board exams. The RD Sharma class 12 chapter 4 exercise MCQ is based on the chapter Algebra of Matrices, which covers addition, multiplication, division, and subtraction of Matrices. You will also learn about skew-symmetric matrices, null matrices, symmetric matrices, and so on. RD Sharma class 12th exercise MCQ part of the textbook will have 46 questions that you will answer.
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Answer: The correct option is
Given:
Solution:
It is Given that,
....(1)
....(2)
Now from Equation (2),
Again from Equation (2),
So, the option (B) is correct.
Again from Equation (1),
So,
Hence, the correct option is (B).
4 Algebra of Matrices Exercise MCQs Question 5
Answer: The correct option is
Again from Equation (2),
Now from Equation (1),
Again from Equation (1),
So,
So, the option (C) is the correct option.
4 Algebra of Matrices Exercise MCQs Question 6
Answer: The correct option is (D), k = 7
Hence,k=7
So, the option (D) is correct.
4 Algebra of Matrices Exercise MCQs Question 7
Answer: The correct option is (A),4 Algebra of Matrices Exercise MCQs Question 8
Answer: The correct option is (C).4 Algebra of Matrices Exercise MCQs Question 9
Answer: The correct option is (A), B is a null matrix.
Given: AB = 0
Solution:
As, AB = 0 and the order of the matrices is A and B is 3,
So, the matrix B has to be a null matrix.
Thus, the correct option is (A)
4 Algebra of Matrices Exercise Multiple Choice Questions Question 11
Answer: The correct option is (A).4 Algebra of Matrices Exercise Multiple Choice Questions Question 12
Answer: The correct option is (A).x + y = 0
So, the correct option is (A).
4 Algebra of Matrices Exercise Multiple Choice Questions Question 13
Answer: The correct option is (B).
Given:
Solution:
As,
So, the correct option is (B).
4 Algebra of Matrices Exercise Multiple Choice Questions Question 15
Answer: The correct option is (C).
Given:
Solution:
(Square Matrix)
Hence,
So, the correct option is (C).
4 Algebra of Matrices Exercise Multiple Choice Questions Question 16
Answer: The correct option is (C).4 Algebra of Matrices Exercise Multiple Choice Questions Question 17
Answer: The correct option is (B).4 Algebra of Matrices Exercise Multiple Choice Questions 18
Answer: The correct option is (A).
Given: Matrix =
Solution:
Therefore, the given matrix is a Skew-Symmetric matrix.
So, the correct option is (A).
4 Algebra of Matrices Exercise Multiple Choice Questions Question 19
Answer: The correct option is (D).4 Algebra of Matrices Exercise Multiple Choice Questions Question 21
Answer: The correct option is (C), x = y4 Algebra of Matrices Exercise Multiple Choice Questions Question 21
4 Algebra of Matrices Exercise Multiple choice Questions Question 23:
Answer: The correct option is (D), none of these.4 Algebra of Matrices Exercise Multiple Choice Questions Question 24
Answer: The correct option is4 Algebra of Matrices Exercise Multiple Choice Questions Question 25
Answer: The correct option is (A).
Given:
Solution:
Then
As the sum is expressed as,
So, the correct option is (A).
4 Algebra of Matrices Exercise Multiple Choice Questions Question 27
Answer: The correct option is (D), 512.4 Algebra of Matrices Exercise Multiple Choice Questions Question 28
Answer: The correct option is (D), Not possible to find.
Given:
Solution: are equal
Then from the matrices,
These values of are not equal to each other, so it is not possible to find.
Thus, the correct option is (D).
4 Algebra of Matrices Exercise Multiple Choice Questions Question 29
Answer: The correct option is4 Algebra of Matrices Exercise Multiple Choice Questions Question 30
Answer: The correct option is4 Algebra of Matrices Exercise Multiple Choice Questions Question 31
Answer: The correct option is (A); 174 Algebra of Matrices Exercise Multiple Choice Questions Question 32
Answer: The correct option is (A).4 Algebra of Matrices Exercise Multiple Choice questionsQuestion 33
Answer: The correct option is (D).4 Algebra of Matrices Exercise Multiple Choice Questions Question 34
Answer: The correct option is (D).4 Algebra of Matrices Exercise Multiple Choice Questions Question 35
Answer: The correct option is (B).Thus, the correct option is (B).
4 Algebra of Matrices Exercise MCQs Question 36Answer: The correct option is (A).
Given: is a square matrix
Hint: Using
Solution:
4 Algebra of Matrices Exercise Multiple Choice Questions Question 37\
Answer:
Given: if A and B are two matrices of order and respectively and , then the order of is
Hint: you must know the subtraction of the matrices
Solution:
Order of the matrix
Order of the matrix
Now we know in matrices;
Addition or subtraction is possible only if their orders are same
i.e. order of A must be equal to the order or B
[Also ,is given]
Order of is also equal to
4 Algebra of Matrices Exercise Multiple Choice Questions Question 38
Answer:Given: If A and B are matrices of same order then is
Hint: You must know about properties of transpose
Solution:
Given that order of matrices A and B are same
Then we check it by taking transpose of
i.e.
Is a skew symmetric matrix
4 Algebra of Matrices Exercise Multiple Choice Questions Question 40
Answer:4 Algebra of Matrices Exercise Multiple Choice Questions Question 42
Answer:4 Algebra of Matrices Exercise Multiple Choice Questions Question 43
Answer: AB and BA are both defined4 Algebra of Matrices Exercise Multiple Choice Questions Question 44
Answer: Skew symmetric4 Algebra of Matrices Exercise Multiple Choice Questions Question 45
Answer: Diagonal matrix
Given:
Hint: You must know about diagonal matrix
Solution:
Here all the elements of the matrix except the diagonal elements are 0
A is a diagonal matrix
4 Algebra of Matrices Exercise Multiple Choice Questions Question 46
Answer: Skew symmetric matrix
Given: A and B are symmetric matrices of same order.
Hint: You must know about properties of transpose of a matrix
Solution:
Given that A and B are symmetric matrices
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Chapter-wise RD Sharma Class 12 Solutions
The MCQs in the class 12 maths book chapter 4 can be solved by using RD Sharma solutions. Students can avail the class 12 RD Sharma chapter 4 exercise MCQ solution pdf online and use the solutions in this book to answer the MCQs of Algebra of Matrices.
MCQs are a great way of testing the overall knowledge of students on a topic or topics. For example, in the RD Sharma class 12 solutions Algebra of Matrices ex MCQ, students will be tested on their knowledge on the entire chapter of Algebra of Matrices.
The class 12 RD Sharma chapter 4 exercise MCQ solution pdf can be downloaded online from Career360. This website has all the latest and updated pdf of RD Sharma solutions which can be availed completely free of cost.
The RD Sharma class 12th exercise MCQ can guide students who want to start their exam preparations beforehand. MCQ will be a great way to test your overall knowledge at the last minute and see if you are ready for the exam.
The RD Sharma class 12 solutions Algebra of Matrices ex MCQ pdf can definitely help students to score well in their JEE mains. Students can use the book for self-practice and self-testing, which would enhance their problem-solving skills
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