This quiz works best with JavaScript enabled. Home > Cbse > Class 12 > Science > Mathematics > Class 12 Mathematics Chapter 3 Matrices – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 7 (20 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. When does a system of equations have infinite solutions? A) When it has no solution. B) When it has no variables. C) When its solution exists. D) When its determinant is zero. Show Answer Correct Answer: D) When its determinant is zero. 2. The point of intersection of the lines:x+3y=5 and x-2y=-5 is A) (1, -2). B) (-1, -2). C) (1, 2). D) (-1, 2). Show Answer Correct Answer: D) (-1, 2). 3. A matrix which have only one ROW is called A) COLUMN MATRIX. B) DIAGONAL MATRIX. C) ROW MATRIX. D) SCALAR MATRIX. Show Answer Correct Answer: C) ROW MATRIX. 4. If A and B are two matrices of orders 3X3, then A+B is of order A) 3X1. B) 3X3. C) 1X3. D) 1X1. Show Answer Correct Answer: B) 3X3. 5. Rectangular matrix:(m= no. of rows, n= no' of columns) A) N=0, m=0. B) M =n. C) M=n=0. D) M not= n. Show Answer Correct Answer: D) M not= n. 6. 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. 7. Using determinants, find the equation of the line joining the points (1, 2) and (3, 6). A) Y = x. B) Y = 2x. C) 4x-y = 5. D) X = 3y. Show Answer Correct Answer: B) Y = 2x. 8. If a matrix has 6 elements, then number of possible orders of the matrix can be A) 3. B) 4. C) 2. D) 6. Show Answer Correct Answer: B) 4. 9. 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. 10. A and B are invertible matrices of the same order such that |(AB)-1| = 8, If |A| = 2, then |B| is A) 6. B) 1/16. C) 16. D) 4. Show Answer Correct Answer: B) 1/16. 11. A diagonal matrix, all of whose diagonal elements are 1, is called: A) Scalar matrix. B) Null matrix. C) Diagonal matrix. D) Unit matrix. Show Answer Correct Answer: D) Unit matrix. 12. If A is an SKEW-SYMMETRIC MATRIX, then $A^T=$ A) A. B) -A. C) $A^{-1}$. D) $-A^{-1}$. Show Answer Correct Answer: B) -A. 13. 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]]. 14. Find the inverse of the matrix A = [[1, 2], [3, 4]]. A) [[-2, 1], [1.5, -0.5]]. B) [[2, -1], [-3, 1]]. C) [[1, 0], [0, 1]]. D) [[4, 3], [2, 1]]. Show Answer Correct Answer: A) [[-2, 1], [1.5, -0.5]]. 15. 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) C. B) A. C) D. D) B. Show Answer Correct Answer: B) A. 16. 1). For a skew symmetric even ordered matrix A of integers, which of the following will not hold true: A) Det (A) = 7. B) Det (A) = 81. C) Det (A) = 4. D) Det (A) = 9. Show Answer Correct Answer: A) Det (A) = 7. 17. Solve $-2\left|x-3\right|=-10$ A) X = 8x =-2. B) X = 23x =-17. C) No solution, the absolute value is negative. D) X =-8x = 2. Show Answer Correct Answer: A) X = 8x =-2. 18. 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'. 19. Find the value of a, if the division of ax$^{3}$ + 9x$^{2}$ + 4x-10 by x + 3 leaves a remainder 5. A) A = 1. B) A = 3. C) A = 2. D) A = 0. Show Answer Correct Answer: C) A = 2. 20. 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 QuizzesScience QuizzesClass 12 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 1 Relations And Functions QuizClass 12 Mathematics Chapter 10 Vector Algebra Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books