This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 12 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. [4 8] is a: A) Square matrix. B) Equal matrix. C) Rectangular matrix. D) Singular matrix. Show Answer Correct Answer: C) Rectangular matrix. 2. [4] is a: A) Square matrix. B) Equal matrix. C) Rectangular matrix. D) Singular matrix. Show Answer Correct Answer: A) Square matrix. 3. If A and B are matrices of the same order, then AB$^{T}$-BA$^{T}$ is a: A) Skew symmetric matrix. B) Null matrix. C) Symmetric matrix. D) Unit matrix. Show Answer Correct Answer: A) Skew symmetric matrix. 4. What always comes first in reference to matrix order? A) Row. B) Column. C) Element. D) Dimension. Show Answer Correct Answer: A) Row. 5. According to Cayley-Hamilton Theorem, state which of the following is TRUE. A) Every skew matrix satisfies its own characteristic equation. B) Every matrix satisfies its own characteristic equation. C) Every square matrix satisfies its own characteristic equation. D) Every square matrix does not satisfy its own characteristic equation. Show Answer Correct Answer: C) Every square matrix satisfies its own characteristic equation. 6. Determine the determinant of the matrix K = [[-2, 3, 1], [4, 2, -5], [1, 0, 3]]. A) 0. B) -53. C) -65. D) 11. Show Answer Correct Answer: C) -65. 7. The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are Rs 80, Rs 60 and Rs 40 each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra. A) 20160. B) 20106. C) 20100. D) NONE OF THE ABOVE. Show Answer Correct Answer: A) 20160. 8. Identify the order of the matrix [[1, 2, 3]]. A) 3x1. B) 2x2. C) 1x3. D) 1x1. Show Answer Correct Answer: C) 1x3. 9. Q6 A) A. B) B. C) C. D) D. Show Answer Correct Answer: B) B. 10. The plural of matrix is A) Matrixes. B) Matrixs. C) Matrices. D) Matrixces. Show Answer Correct Answer: C) Matrices. 11. An IDENTITY MATRIX is an example of SCALAR MATRIX . A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 12. Derivative of 8$^{x}$ w.r.t. x = A) 1/8. B) 1/x. C) 8$^{x}$/log 8. D) 8$^{x}$ log 8. Show Answer Correct Answer: D) 8$^{x}$ log 8. 13. If A is a singular matrix of order 3 and 2, 3 are two eigenvalues find the 3rd eigenvalue. A) 2. B) 3. C) 0. D) 6. Show Answer Correct Answer: C) 0. 14. If a classroom seating arrangement is obtained by changing the respective rows into columns, then we get ..... of the classroom. A) Negative. B) Inverse. C) Transpose. D) None of these. Show Answer Correct Answer: C) Transpose. 15. How is the order of a matrix identified? A) Row x Column. B) Column x Row. C) Row only. D) Column only. Show Answer Correct Answer: A) Row x Column. 16. Integral of logx = A) Xlogx-x. B) 1/x. C) Logx-x. D) X-xlogx. Show Answer Correct Answer: A) Xlogx-x. 17. Integral of Sin 9x = A) 9 Cos 9x. B) (Cos 9x)/9. C) (-Cos 9x)/9. D) -9 Cos 9x. Show Answer Correct Answer: C) (-Cos 9x)/9. 18. What is a rectangular matrix? A) Number of rows is not equal to the number of columns. B) Number of rows is more than the number of columns. C) Number of columns is 1. D) Number of rows is 1. Show Answer Correct Answer: A) Number of rows is not equal to the number of columns. 19. Question 12 A) -7-258 17. B) 7-190 15. C) -7 250 15. D) No solution. Show Answer Correct Answer: A) -7-258 17. 20. En una matriz $a_{ij}$ A) $i$ $j$. B) $i$ $j$. C) $i$ $j$. D) $i$ $j$. Show Answer Correct Answer: A) $i$ $j$. 21. If A is a square matrix then AA' A) Is not defined. B) Is a skew symmetric matrix. C) Is a symmetric matrix. D) =-AA'. Show Answer Correct Answer: C) Is a symmetric matrix. 22. If all diagonal elements of a square matrix A are zero then A) A is a symmetric matrix. B) A is a skew symmetric matrix. C) A may or may not be skew symmetric matrix. D) Never a skew symmetric matrix. Show Answer Correct Answer: C) A may or may not be skew symmetric matrix. 23. If 0 is an eigenvalue of a matrix A, then A$^{2}$ is singular(singular means not invertible that is determinant is zero) A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 24. If A is an invertible matrix of order 3x3 and IAI=9. Then find IadjAI= A) 18. B) 81. C) 729. D) 9. Show Answer Correct Answer: B) 81. 25. 7). If a square matrix A has two identical rows or columns, then det.A is: A) 0. B) -1. C) 1. D) None of these. Show Answer Correct Answer: A) 0. ← PreviousNext →Related QuizzesClass 12 Mathematics Chapter 3 Matrices Quiz 1Class 12 Mathematics Chapter 3 Matrices Quiz 2Class 12 Mathematics Chapter 3 Matrices Quiz 3Class 12 Mathematics Chapter 3 Matrices Quiz 4Class 12 Mathematics Chapter 3 Matrices Quiz 5Class 12 Mathematics Chapter 3 Matrices Quiz 6Class 12 Mathematics Chapter 3 Matrices Quiz 7Class 12 Mathematics Chapter 3 Matrices Quiz 8Class 12 Mathematics Chapter 3 Matrices Quiz 9Class 12 Mathematics Chapter 3 Matrices Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books