This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 17 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 17 (16 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Singleton Matrix has determinant of (a) A) 0. B) None. C) A. 1. D) None of the above. Show Answer Correct Answer: C) A. 1. 2. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6). A) Y = 2x. B) X = 3y. C) Y = x. D) 4x-y = 5. Show Answer Correct Answer: A) Y = 2x. 3. If a matrix has 6 elements, then number of possible orders of the matrix can be A) 2. B) 4. C) 3. D) 6. Show Answer Correct Answer: B) 4. 4. The points (1, 0), (6, 0) and (0, 0) are collinear A) NOT POSSIBLE. B) CANNOT BE DETERMINED. C) TRUE. D) NONE OF THE ABOVE. Show Answer Correct Answer: C) TRUE. 5. A and B are invertible matrices of the same order such that |(AB)-1| = 8, If |A| = 2, then |B| is A) 16. B) 4. C) 6. D) 1/16. Show Answer Correct Answer: D) 1/16. 6. A diagonal matrix, all of whose diagonal elements are 1, is called: A) Diagonal matrix. B) Scalar matrix. C) Null matrix. D) Unit matrix. Show Answer Correct Answer: D) Unit matrix. 7. If A is an SKEW-SYMMETRIC MATRIX, then $A^T=$ A) A. B) $A^{-1}$. C) -A. D) $-A^{-1}$. Show Answer Correct Answer: C) -A. 8. Determine the product of the matrices E = [[1, 2], [3, 4]] and F = [[5, 6], [7, 8]]. A) [[11, 13], [15, 17]]. B) [[19, 22], [43, 50]]. C) [[5, 6], [7, 8]]. D) [[1, 2], [3, 4]]. Show Answer Correct Answer: B) [[19, 22], [43, 50]]. 9. Find the inverse of the matrix A = [[1, 2], [3, 4]]. A) [[-2, 1], [1.5, -0.5]]. B) [[4, 3], [2, 1]]. C) [[1, 0], [0, 1]]. D) [[2, -1], [-3, 1]]. Show Answer Correct Answer: A) [[-2, 1], [1.5, -0.5]]. 10. Look at the problem on the half-sheet I gave you. Answer it fully. When you do, call me over and check it. I will give you the correct "answer" below if you get it right. A) A. B) B. C) C. D) D. Show Answer Correct Answer: A) A. 11. Q4 A) A. B) B. C) C. D) D. Show Answer Correct Answer: A) A. 12. 1). For a skew symmetric even ordered matrix A of integers, which of the following will not hold true: A) Det (A) = 9. B) Det (A) = 81. C) Det (A) = 7. D) Det (A) = 4. Show Answer Correct Answer: C) Det (A) = 7. 13. Solve $-2\left|x-3\right|=-10$ A) No solution, the absolute value is negative. B) X = 23x =-17. C) X = 8x =-2. D) X =-8x = 2. Show Answer Correct Answer: C) X = 8x =-2. 14. A square matrix is known as symmetric matrix if A) A+A'=0. B) A=A'. C) $A-A'\ne0$. D) None of these. Show Answer Correct Answer: B) A=A'. 15. Find the value of a, if the division of ax$^{3}$ + 9x$^{2}$ + 4x-10 by x + 3 leaves a remainder 5. A) A = 0. B) A = 1. C) A = 2. D) A = 3. Show Answer Correct Answer: C) A = 2. 16. Solve the system of equations using Cramer's Rule:3x-y = 7 and 5x + 2y = 19. A) The solution is x = 3 and y = 2. B) The solution is x = 4 and y = 5. C) The solution is x = 5 and y = 1. D) The solution is x = 2 and y = 4. Show Answer Correct Answer: A) The solution is x = 3 and y = 2. ← PreviousRelated 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