My Learning Cart
?
Categories
Account

Matrices & Determinants

Download Q&A
Q. What is the trace of the matrix H = [[2, 0, 1], [0, 3, 0], [1, 0, 4]]? (2019)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. What is the trace of the matrix H = [[2, 1], [1, 3]]?
  • A. 3
  • B. 4
  • C. 5
  • D. 6
Q. What is the trace of the matrix I = [[3, 2], [1, 4]]? (2023)
  • A. 5
  • B. 6
  • C. 7
  • D. 8
Q. What is the trace of the matrix I = [[5, 2], [3, 4]]? (2022)
  • A. 5
  • B. 7
  • C. 9
  • D. 11
Q. What is the value of the determinant of the matrix G = [[1, 2, 3], [0, 1, 4], [5, 6, 0]]? (2022)
  • A. -34
  • B. 34
  • C. 0
  • D. 10
Q. What is the value of x if the matrix A = [[x, 2], [3, 4]] is singular?
  • A. 1
  • B. 2
  • C. 3
  • D. 4
Q. What is the volume of a cube with a side length of 5 cm? (2022)
  • A. 25 cm³
  • B. 50 cm³
  • C. 125 cm³
  • D. 150 cm³
Q. What type of matrix has all its diagonal elements as 1 and all other elements as 0? (2023)
  • A. Identity matrix
  • B. Zero matrix
  • C. Diagonal matrix
  • D. Scalar matrix
Q. What type of matrix has all its elements equal to zero? (2022)
  • A. Identity matrix
  • B. Zero matrix
  • C. Diagonal matrix
  • D. Scalar matrix
Q. What type of matrix has all its elements equal? (2022)
  • A. Identity matrix
  • B. Zero matrix
  • C. Scalar matrix
  • D. Diagonal matrix
Q. What type of matrix has the property A = -A? (2022)
  • A. Symmetric matrix
  • B. Skew-symmetric matrix
  • C. Identity matrix
  • D. Diagonal matrix
Q. Which of the following is a characteristic of a diagonal matrix? (2022)
  • A. All elements are zero
  • B. Only diagonal elements are non-zero
  • C. All elements are equal
  • D. It is always square
Q. Which of the following is a property of an identity matrix? (2019)
  • A. It is always square
  • B. It has all elements as 1
  • C. It is always a zero matrix
  • D. It has a determinant of 0
Q. Which of the following is a singular matrix? (2019)
  • A. [[1, 2], [3, 4]]
  • B. [[2, 3], [4, 6]]
  • C. [[5, 0], [0, 5]]
  • D. [[0, 1], [1, 0]]
Q. Which of the following is a square matrix? (2020)
  • A. 2x3
  • B. 3x3
  • C. 4x2
  • D. 5x1
Q. Which of the following is a symmetric matrix? (2020)
  • A. [[1, 2], [3, 4]]
  • B. [[1, 2], [2, 1]]
  • C. [[1, 0], [0, 1]]
  • D. [[0, 1], [1, 0]]
Q. Which of the following is an identity matrix? (2019)
  • A. [[1, 0], [0, 1]]
  • B. [[1, 1], [1, 1]]
  • C. [[0, 1], [1, 0]]
  • D. [[2, 0], [0, 2]]
Q. Which of the following matrices is a diagonal matrix? (2023)
  • A. [[1, 0], [0, 2]]
  • B. [[1, 2], [3, 4]]
  • C. [[0, 1], [1, 0]]
  • D. [[1, 1], [1, 1]]
Q. Which of the following matrices is a zero matrix? (2022)
  • A. [[0, 0], [0, 0]]
  • B. [[1, 0], [0, 1]]
  • C. [[1, 2], [3, 4]]
  • D. [[0, 1], [1, 0]]
Q. Which of the following matrices is an identity matrix? (2023)
  • A. [[1, 0], [0, 1]]
  • B. [[0, 1], [1, 0]]
  • C. [[1, 1], [1, 1]]
  • D. [[0, 0], [0, 0]]
Q. Which of the following matrices is an orthogonal matrix? (2021)
  • A. A matrix whose transpose is equal to its inverse
  • B. A matrix with all elements equal
  • C. A matrix with only one row
  • D. A matrix with all diagonal elements equal
Q. Which of the following matrices is not invertible? (2019)
  • A. [[1, 2], [3, 4]]
  • B. [[0, 1], [0, 0]]
  • C. [[5, 6], [7, 8]]
  • D. [[9, 10], [11, 12]]
Q. Which of the following matrices is symmetric? (2023)
  • A. A = [[1, 2], [3, 4]]
  • B. B = [[1, 2], [2, 1]]
  • C. C = [[1, 0], [0, 1]]
  • D. D = [[1, 2, 3], [4, 5, 6]]
Showing 91 to 113 of 113 (4 Pages)

Matrices & Determinants MCQ & Objective Questions

Matrices and determinants are crucial topics in mathematics that play a significant role in various examinations. Mastering these concepts not only enhances your problem-solving skills but also boosts your confidence in tackling objective questions. Practicing MCQs and important questions related to matrices and determinants is essential for effective exam preparation, helping you score better in your assessments.

What You Will Practise Here

  • Understanding the definition and types of matrices
  • Matrix operations: addition, subtraction, and multiplication
  • Determinants: calculation methods and properties
  • Inverse of a matrix and its applications
  • Rank of a matrix and its significance
  • Solving linear equations using matrices
  • Applications of matrices in real-world problems

Exam Relevance

The topic of matrices and determinants is frequently included in the syllabi of CBSE, State Boards, NEET, and JEE. Students can expect questions that test their understanding of matrix operations, determinant calculations, and their applications in solving equations. Common question patterns often involve direct computation, conceptual understanding, and application-based problems, making it vital to be well-prepared.

Common Mistakes Students Make

  • Confusing the properties of determinants with those of matrices
  • Errors in calculating determinants, especially for larger matrices
  • Neglecting the importance of matrix dimensions in operations
  • Misunderstanding the concept of the inverse of a matrix
  • Overlooking the application of matrices in solving real-life problems

FAQs

Question: What are the types of matrices I should know for exams?
Answer: You should be familiar with row matrices, column matrices, square matrices, and zero matrices, as they are commonly tested.

Question: How can I calculate the determinant of a 3x3 matrix?
Answer: You can use the rule of Sarrus or the cofactor expansion method to find the determinant of a 3x3 matrix.

Question: Why is it important to practice MCQs on matrices and determinants?
Answer: Practicing MCQs helps reinforce your understanding, improves speed, and prepares you for the types of questions you will encounter in exams.

Get ready to enhance your skills! Dive into our practice MCQs on matrices and determinants to test your understanding and excel in your exams.

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks