My Learning Cart
?
Categories
Account

Matrices

Download Q&A
Q. Find the eigenvalues of the matrix A = [[2, 1], [1, 2]].
  • A. 1, 3
  • B. 2, 2
  • C. 3, 1
  • D. 0, 4
Q. Find the inverse of the matrix A = [[1, 2], [3, 4]].
  • A. [[4, -2]; [-3, 1]]
  • B. [[1, -2]; [-3, 4]]
  • C. [[-2, 1]; [3, 4]]
  • D. [[2, -1]; [-1.5, 0.5]]
Q. If A = [[1, 0], [0, 1]] and B = [[2, 3], [4, 5]], what is AB?
  • A. [2, 3], [4, 5]
  • B. [1, 0], [0, 1]
  • C. [0, 0], [0, 0]
  • D. [6, 8], [12, 15]
Q. If A = [[1, 0], [0, 1]] is the identity matrix, what is A^n for any integer n?
  • A. A
  • B. 0
  • C. I
  • D. None of the above
Q. If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?
  • A. [6, 8], [10, 12]
  • B. [1, 2], [3, 4]
  • C. [5, 6], [7, 8]
  • D. [8, 10], [10, 12]
Q. If A = [[1, 2], [3, 4]], find A^2.
  • A. [7, 10], [15, 22]
  • B. [1, 2], [3, 4]
  • C. [10, 13], [22, 29]
  • D. [-1, -2], [-3, -4]
Q. If A = [[1, 2], [3, 4]], find the determinant of A.
  • A. -2
  • B. 2
  • C. 0
  • D. 4
Q. If A = [[1, 2], [3, 4]], what is A^2?
  • A. [7, 10; 15, 22]
  • B. [1, 2; 3, 4]
  • C. [10, 14; 22, 30]
  • D. [-1, -2; -3, -4]
Q. If A = [[1, 2], [3, 4]], what is the adjoint of A?
  • A. [[4, -2], [-3, 1]]
  • B. [[1, 3], [2, 4]]
  • C. [[2, 1], [4, 3]]
  • D. [[0, 0], [0, 0]]
Q. If A = [[1, 2], [3, 4]], what is the determinant of A?
  • A. -2
  • B. 2
  • C. 0
  • D. 4
Q. If A = [[1, 2], [3, 4]], what is the eigenvalue of A?
  • A. 5
  • B. 2
  • C. 3
  • D. 1
Q. If A = [[1, 2], [3, 4]], what is the inverse of A?
  • A. [[4, -2], [-3, 1]]
  • B. [[-2, 1], [1.5, -0.5]]
  • C. [[-2, 1], [1.5, -0.5]]
  • D. [[4, -2], [-3, 1]]
Q. If A = [[1, 2], [3, 4]], what is the trace of A?
  • A. 5
  • B. 7
  • C. 3
  • D. 1
Q. If A = [[2, 0], [0, 3]], what is the eigenvalue of A?
  • A. 2
  • B. 3
  • C. 0
  • D. 5
Q. If A is a 2x2 matrix such that A^2 = I, where I is the identity matrix, then which of the following is true?
  • A. A is invertible
  • B. A is singular
  • C. A is a zero matrix
  • D. A is a diagonal matrix
Q. If A is a 2x2 matrix with eigenvalues 1 and -1, what is the determinant of A?
  • A. 0
  • B. 1
  • C. -1
  • D. 2
Q. If A is a 2x2 matrix with eigenvalues 3 and 5, what is the trace of A?
  • A. 8
  • B. 15
  • C. 5
  • D. 3
Q. If A is a 3x3 matrix with eigenvalues 2, 3, and 4, what is the trace of A?
  • A. 9
  • B. 24
  • C. 6
  • D. 12
Q. What is the characteristic polynomial of the matrix A = [[1, 2], [3, 4]]?
  • A. λ^2 - 5λ - 2
  • B. λ^2 - 5λ + 2
  • C. λ^2 + 5λ + 2
  • D. λ^2 + 5λ - 2
Q. What is the characteristic polynomial of the matrix A = [[2, 1], [1, 2]]?
  • A. λ^2 - 3λ + 3
  • B. λ^2 - 3λ + 1
  • C. λ^2 - 5λ + 2
  • D. λ^2 - 2λ + 1
Q. What is the determinant of the matrix [[0, 1], [1, 0]]?
  • A. 0
  • B. 1
  • C. -1
  • D. 2
Q. What is the inverse of the matrix A = [[0, 1], [1, 0]]?
  • A. [[0, 1], [1, 0]]
  • B. [[1, 0], [0, 1]]
  • C. [[0, 0], [0, 0]]
  • D. [[1, 1], [1, 1]]
Q. What is the inverse of the matrix A = [[1, 2], [3, 4]]?
  • A. [[4, -2], [-3, 1]]
  • B. [[-2, 1], [1.5, -0.5]]
  • C. [[-2, 1], [1.5, -0.5]]
  • D. [[2, -1], [-1.5, 0.5]]
Q. What is the rank of the matrix A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
  • A. 1
  • B. 2
  • C. 3
  • D. 0
Q. What is the rank of the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
  • A. 1
  • B. 2
  • C. 3
  • D. 0
Q. What is the trace of the matrix A = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
  • A. 15
  • B. 18
  • C. 12
  • D. 9
Showing 1 to 26 of 26 (1 Pages)

Matrices MCQ & Objective Questions

Matrices are a crucial topic in mathematics that holds significant importance in various school and competitive exams. Understanding matrices not only enhances your problem-solving skills but also boosts your confidence in tackling objective questions. Practicing MCQs related to matrices helps you identify important questions and solidify your exam preparation, ensuring you are well-equipped to score better.

What You Will Practise Here

  • Definition and types of matrices
  • Matrix operations: addition, subtraction, and multiplication
  • Determinants and their properties
  • Inverse of a matrix and its applications
  • Rank of a matrix and its significance
  • Applications of matrices in solving linear equations
  • Special matrices: identity matrix, zero matrix, and diagonal matrix

Exam Relevance

Matrices are frequently featured in the CBSE curriculum and various State Boards, making them an essential topic for students. In competitive exams like NEET and JEE, questions on matrices often appear in the form of MCQs that test your understanding of concepts and applications. Common question patterns include finding determinants, solving linear equations using matrices, and identifying properties of specific types of matrices.

Common Mistakes Students Make

  • Confusing the operations of addition and multiplication of matrices
  • Incorrectly calculating determinants, especially for larger matrices
  • Overlooking the conditions for the existence of an inverse matrix
  • Misunderstanding the rank of a matrix and its implications

FAQs

Question: What are matrices used for in real life?
Answer: Matrices are used in various fields such as computer graphics, engineering, and statistics to represent and solve complex problems.

Question: How can I improve my skills in solving matrices MCQs?
Answer: Regular practice of matrices MCQ questions and understanding the underlying concepts will significantly enhance your skills.

Start solving practice MCQs on matrices today to test your understanding and prepare effectively for your exams. Remember, consistent practice is the key to mastering this important topic!

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