This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 6 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The transpose of a column matrix is A) Column matrix. B) Row matrix. C) Diagonal matrix. D) Zero matrix. Show Answer Correct Answer: B) Row matrix. 2. Permite saltar de dominio para buscar patrones, es una matriz llamada A) Vertical. B) Horizontal. C) Transversal. D) Ortogonal. Show Answer Correct Answer: C) Transversal. 3. If the determinant of a matrix is zero then, name the matrix A) Identity matrix. B) Non-singular matrix. C) Triangular matrix. D) Singular matrix. Show Answer Correct Answer: D) Singular matrix. 4. If x + 5 is the mean proportional between x + 2 and x + 9; find the value of x. A) 4. B) 5. C) 6. D) 7. Show Answer Correct Answer: D) 7. 5. If A and B are two square matrices such that AB = BA = I, then B is theinverse matrix of A and is denoted by A-1 but A is not the inverse of B. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 6. Solve the system for the value of x. 5x + 8y =-123x + 5y =-7 A) 1. B) -1. C) -4. D) No solution. Show Answer Correct Answer: C) -4. 7. Matriz que busca el ser y la esencia del ser humano es A) Horizontal. B) Vertical. C) Ortogonal. D) Ninguna. Show Answer Correct Answer: C) Ortogonal. 8. If A is singular matrix, then A (adj A) = A) A unit matrix. B) A null matrix. C) A symmetric matrix. D) None of these. Show Answer Correct Answer: B) A null matrix. 9. A classroom has a seating arrangement where the number of rows is equal to the number of columns. In this scenario, when is the classroom considered to have a square seating arrangement? A) The number of rows is equal to the number of columns. B) The number of rows is greater than the number of columns. C) The number of rows is less than the number of columns. D) None of these. Show Answer Correct Answer: A) The number of rows is equal to the number of columns. 10. The rank of Null matrix is ..... A) 1. B) 0. C) 2. D) 3. Show Answer Correct Answer: B) 0. 11. Cayley-Hamilton's theorem is A) The product of the characteristic roots of a square matrix of order n is equal to the determinant of the matrix. B) Every square matrix satisfies its own characteristic equation. C) For a square matrix A. $\lambda$ is a characteristic root iff there exists a nonzero vector X such that AX=$\lambda$X. D) The characteristic roots of a real symmetric matrix are all real. Show Answer Correct Answer: B) Every square matrix satisfies its own characteristic equation. 12. How many COLUMN and RAW are there in a Matrix of order $2\times3$ A) 2 and 3. B) 3 and 3. C) 3 and 2. D) None of these. Show Answer Correct Answer: C) 3 and 2. 13. If A is a singular matrix, then A adj (A) is a/an a. scalar matrix b. zero matrix c. identity matrix d. orthogonal matrix A) A. B) B. C) C. D) D. Show Answer Correct Answer: B) B. 14. Derivative of tan 7x w.r.t. x = A) (Sec$^{2}$ 7x)/7. B) (tan 7x)/7. C) 7 tan 7x. D) 7 Sec$^{2}$7x. Show Answer Correct Answer: D) 7 Sec$^{2}$7x. 15. What is the determinant of the matrix | 2 3 | | 5 7 |? A) -1. B) 1. C) 4. D) -4. Show Answer Correct Answer: D) -4. 16. The number of columns in a 2x12 matrix is? A) 10. B) 24. C) 12. D) 2. Show Answer Correct Answer: C) 12. 17. Find two numbers such that the mean mean proportional between them is 12 and the third proportional to them is 96. A) 6 and 12. B) 3 and 18. C) 6 and 24. D) 3 and 30. Show Answer Correct Answer: C) 6 and 24. 18. Q8 A) A. B) B. C) C. D) D. Show Answer Correct Answer: D) D. 19. If the number of elements of a matrix represents a prime Number (p), then the number of matrices possible is A) 1. B) P. C) 2. D) None of these. Show Answer Correct Answer: C) 2. 20. A-B = A + (-1) B this property of matrices is not correct A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 21. If |A| = 0, then A is A) Zero matrix. B) Singular matrix. C) Non-singular matrix. D) Identity matrix. Show Answer Correct Answer: B) Singular matrix. 22. When solving a system AX=B using inverse matrices, you use the equation: A) X=A$^{-1}$B. B) B=X$^{-1}$A. C) A=X$^{-1}$B. D) X=B$^{-1}$A. Show Answer Correct Answer: A) X=A$^{-1}$B. 23. What is the order of the matrix [[1, 2, 3], [4, 5, 6]]? A) 1 x 3. B) 3 x 2. C) 2 x 2. D) 2 x 3. Show Answer Correct Answer: D) 2 x 3. 24. What is the definition of scalar multiplication of matrices? A) Scalar multiplication is the process of finding the determinant of a matrix. B) Scalar multiplication of matrices is the process of multiplying each element of a matrix by a scalar (a single number). C) Scalar multiplication is the process of adding two matrices together. D) Scalar multiplication is the process of dividing each element of a matrix by a scalar. Show Answer Correct Answer: B) Scalar multiplication of matrices is the process of multiplying each element of a matrix by a scalar (a single number). 25. What is the result of multiplying matrices M = [[3, 4, 2], [1, 5, 0]] and N = [[13, 9], [8, 7], [6, 4]]? A) [[83, 63], [53, 42]]. B) [[92, 73], [46, 35]]. C) [[76, 58], [40, 35]]. D) [[74, 55], [46, 35]]. Show Answer Correct Answer: A) [[83, 63], [53, 42]]. ← 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 7Class 12 Mathematics Chapter 3 Matrices Quiz 8Class 12 Mathematics Chapter 3 Matrices Quiz 9Class 12 Mathematics Chapter 3 Matrices Quiz 10Class 12 Mathematics Chapter 3 Matrices Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books