This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 15 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 15 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. La matriz traspuesta de la traspuesta de A es: A) La matriz identidad. B) La matriz nula. C) La matriz A. D) La matriz adjunta. Show Answer Correct Answer: C) La matriz A. 2. If A and B are square matrices of same order, then AB '-BA ' is a A) Skew symmetric. B) Symmetric. C) Null Matrix. D) Unit Matrix. Show Answer Correct Answer: A) Skew symmetric. 3. Solve the system for the value of y:2y + 7x + 6 =-132y-x-7 = 14 A) Y = 8. B) X =-5. C) Y =-5. D) Y =-8. Show Answer Correct Answer: A) Y = 8. 4. Transpose of an orthogonal matrix is ..... A) Symmetric. B) Skew symmetric. C) Hermitian. D) Orthogonal. Show Answer Correct Answer: D) Orthogonal. 5. Solve the following system using an augmented matrix. Use your calculator.-3x + y = 4-5x + 2y-4z =-3-x-4y-6z = 11 A) (2, -5, -3). B) (2, -4, -4). C) (2, -3, -5). D) (-3, -5, 2). Show Answer Correct Answer: D) (-3, -5, 2). 6. Solve the system of equations using matrices:3x + 2y-z = 11, 2x-y + 3z = 4, and x + 3y-2z = 9. A) The solution for the system of equations is x = 3, y = 2, and z = 1. B) The solution for the system of equations is x = 3, y = 1, and z = 2. C) The solution for the system of equations is x = 2, y = 3, and z = 1. D) The solution for the system of equations is x = 1, y = 3, and z = 2. Show Answer Correct Answer: C) The solution for the system of equations is x = 2, y = 3, and z = 1. 7. We can calculate determinants of which matrices A) All matrices. B) All matrices except square matrices. C) All matrices except rectangular matrices. D) Only square matrices. Show Answer Correct Answer: D) Only square matrices. 8. Calculate the product of the matrices [[1, 2], [3, 4]] and [[5], [6]]. A) [[17], [39]]. B) [[20], [30]]. C) [[15], [35]]. D) [[10], [24]]. Show Answer Correct Answer: A) [[17], [39]]. 9. If A and B are invertible matrices then (AB)$^{-1}$ =? A) A$^{-1}$B$^{-1}$. B) AB. C) B$^{-1}$A$^{-1}$. D) None of these. Show Answer Correct Answer: C) B$^{-1}$A$^{-1}$. 10. If A is $3\times4$ A) $3\times4$. B) $3\times3$. C) $4\times4$. D) 4 $\times$. Show Answer Correct Answer: B) $3\times3$. 11. If A and B are nonsingular matrices of the same order then (adj AB) = A) (adj A)(adj B). B) (adj B)(adj A). C) Does not exist. D) None of these. Show Answer Correct Answer: B) (adj B)(adj A). 12. What is the condition for two matrices to get multiplied? A) They must be square. B) There order must be equal always. C) No. of COLUMNS of first matrix should be equal to No. of ROWS of second matrix. D) None of these. Show Answer Correct Answer: C) No. of COLUMNS of first matrix should be equal to No. of ROWS of second matrix. 13. Which one comes first in the order of a matrix? A) Row. B) Column. C) All the above. D) None of the above. Show Answer Correct Answer: A) Row. 14. 14). If A and B are matrices of the same order, then (AB'-BA') is a A) Skew-symmetric matrix. B) Null matrix. C) Symmetric matrix. D) Unit matrix. Show Answer Correct Answer: A) Skew-symmetric matrix. 15. In a certain positive fraction, the denominator is greater than the numerator by 3. If 1 is subtracted from both the numerator and denominator, the fraction is decreased by 1/14. Find the fraction. A) 3/7. B) 4/7. C) -9/-6. D) 3/2. Show Answer Correct Answer: B) 4/7. 16. Dada el orden de cada matriz A = 3x2B= 2x1la matriz resultante de AxB es A) 2 filas x 2 columnas. B) 3 filas x 1 columna. C) No se puede realizar la operacion. D) None of the above. Show Answer Correct Answer: B) 3 filas x 1 columna. 17. What is the area of triangle XYZ with vertices X(8, -6), Y(-4, 2) and Z(-18, -12)? A) 280. B) 140. C) 180. D) 240. Show Answer Correct Answer: B) 140. 18. A singular matrix has its determinant zero. True or False? A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 19. The polynomials 2x$^{3}$-7x$^{2}$ + ax-6 and x$^{3}$-8x$^{2}$ + (2a + 1)x-16 leaves the same remainder when divided by x-2. Find the value of 'a'. A) A = 10. B) A = 20. C) A = 30. D) A = 40. Show Answer Correct Answer: A) A = 10. 20. If a system has infinite solutions, then it means: A) The lines or planes don't intersect. B) The lines or planes are parallel. C) The lines or planes intersect at a line. D) You get 0=some number when solving the system. Show Answer Correct Answer: C) The lines or planes intersect at a line. 21. (3 X 4) Matrix have: A) 7 Elements. B) 12 Elements. C) 4 Elements. D) 3 Elements. Show Answer Correct Answer: B) 12 Elements. 22. Q3 A) A. B) B. C) C. D) D. Show Answer Correct Answer: B) B. 23. What is the order of a matrix?(HINT:How are dimensions of a matrix written?) A) Number of elements. B) Number of diagonals. C) Number of rows and columns. D) Number of columns and rows. Show Answer Correct Answer: C) Number of rows and columns. 24. Question 10 A) -8 16 0 32. B) 7 108 12. C) 9 68 4. D) None of the above. Show Answer Correct Answer: A) -8 16 0 32. 25. What property of matrices states that the product of a matrix and the identity matrix is the matrix itself? A) Associative Property of Matrix Multiplication. B) Identity Property of Matrix Multiplication. C) Commutative Property of Matrix Addition. D) Distributive Property of Matrix Multiplication. Show Answer Correct Answer: B) Identity Property of Matrix Multiplication. ← 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