This quiz works best with JavaScript enabled. Home > Cbse > Class 12 > Science > Mathematics > Class 12 Mathematics Chapter 3 Matrices – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The matrix A and A$^{T}$ are always conformable for addaition. A) Yes. B) No. C) Can't say. D) None of the above. Show Answer Correct Answer: B) No. 2. Matriz columna es la Matriz que no tiene ninguna columna A) Verdadera. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: B) Falso. 3. The order of a matrix is written as A) Number of columns x number of rows. B) A number. C) A multiple. D) Number of rows x number of columns. Show Answer Correct Answer: D) Number of rows x number of columns. 4. What can be concluded about the eigenvalues of a matrix that is both symmetric and positive definite? A) All eigenvalues are real and positive. B) All eigenvalues are complex. C) At least one eigenvalue is negative. D) Eigenvalues can be zero. Show Answer Correct Answer: A) All eigenvalues are real and positive. 5. What least number must be subtracted from each of the numbers 7, 17 and 47 so that the remainders are in continued proportion? A) 1. B) 0. C) 2. D) 3. Show Answer Correct Answer: C) 2. 6. The determinant of matrix A is denoted by: A) Adj A. B) |A|. C) A$^{t}$. D) A$^{-1}$. Show Answer Correct Answer: B) |A|. 7. The number of all possible matrices of order 2 x 3 with each entry 1 or 2 is A) 81. B) 12. C) 64. D) 7. Show Answer Correct Answer: C) 64. 8. Solve for the value of the x-coordinate.8x-6y + 20 = 07y-16x-45 =-15 A) -1. B) -2. C) 1. D) 2. Show Answer Correct Answer: A) -1. 9. If A is a square matrix such that A2 = I, then (A-I)3 + (A + I)3-7A is equal to A) 3A. B) I-A. C) A. D) I + A. Show Answer Correct Answer: C) A. 10. If A is symmetric as well as skew-symmetric, then A is ..... A) Triangular matrix. B) Null matrix. C) Diagonal matrix. D) Identity Matrix. Show Answer Correct Answer: B) Null matrix. 11. What is the maximum rank of [2x5] matrix A) 5. B) 2. C) 1. D) None of these. Show Answer Correct Answer: B) 2. 12. To add or subtract matrices, which of the following must be true? A) They are the same matrix. B) They have the same dimensions. C) Rows in the 1st matrix must have the same # of terms as the columns as the 2nd matrix. D) All matrices can be added. Show Answer Correct Answer: B) They have the same dimensions. 13. If a matrix as 18 elements, then number of possible orders are A) 8. B) 6. C) 7. D) 4. Show Answer Correct Answer: B) 6. 14. 10). If A and B are two matrices conformable to multiplication such that their product AB = O (Zero matrix). Then which of the following is true A) A and B are both null matrices. B) Either of A is or B is a null matrix. C) Neither of them may be a zero matrix. D) All of the above options are correct. Show Answer Correct Answer: D) All of the above options are correct. 15. Encuentre las soluciones del sistema:4x + 5y =-13x-3y = 6 A) X =-1, y = 1. B) X = 1, y =-1. C) X = 1, y = 1. D) X = 2, y =-2. Show Answer Correct Answer: B) X = 1, y =-1. 16. A homogeneous system of linear equations has atleast a zero solution A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 17. What if r A) Infinitely many solutions. B) Zero solution. C) No solution. D) Unique solution. Show Answer Correct Answer: A) Infinitely many solutions. 18. The sum of the eigenvalues is equal to A) The product of diagonal elements. B) DetA. C) Sum of the diagonal elements. D) Product of eigenvalues. Show Answer Correct Answer: A) The product of diagonal elements. 19. For a square matrix, the sum of the diagonal elements is called the ..... of the matrix. A) Determinant. B) Trace. C) Zero. D) None of these. Show Answer Correct Answer: B) Trace. 20. 2).If a any square matrix then which of the following is not symmetric? A) A+A$^{t}$. B) A$^{t}$A. C) A-A$^{t}$. D) AA$^{t}$. Show Answer Correct Answer: C) A-A$^{t}$. 21. A matrix is said to be scalar matrix if all the diagonal elements of the square matrices are A) 0. B) 1. C) Equal. D) None of these. Show Answer Correct Answer: C) Equal. 22. What is matrix multiplication? A) Multiplying the rows of the first matrix with the columns of the second matrix. B) Dividing the corresponding elements of two matrices. C) Subtracting the corresponding elements of two matrices. D) Multiplying the corresponding elements of two matrices together. Show Answer Correct Answer: A) Multiplying the rows of the first matrix with the columns of the second matrix. 23. Los sistemas de ecuaciones que no tienen soluciones son A) Sistemas compatibles. B) Sistemas incompatibles. C) Sistemas insolucionables. D) Sistemas incompatibles indeterminados. Show Answer Correct Answer: B) Sistemas incompatibles. 24. *A square matrix over the field of reals is said to be orthogonal if A) *AA'=A'A= 0. B) *AA'=A'A= I. C) *AA' is not equal to A'A. D) *AA'=A'A= A. Show Answer Correct Answer: B) *AA'=A'A= I. 25. When is a system of equations said to be consistent? A) When it has no variables. B) When its solution does not exist. C) When its solution exists. D) When it has infinite solutions. Show Answer Correct Answer: C) When its solution exists. 26. Si A es una matriz de orden PxN y B es una matriz de orden NxQ, entonces la matriz C = AB es de orden: A) NxQ. B) PxN. C) PxN y NxQ. D) PxQ. Show Answer Correct Answer: D) PxQ. 27. In a robotics competition, a robot's movement matrix is considered skew-symmetric if A) The robot's movement matrix transposed is equal to the negative of the original matrix. B) The robot's movement matrix transposed is equal to the original matrix. C) The robot's movement matrix is a zero matrix. D) None of these. Show Answer Correct Answer: A) The robot's movement matrix transposed is equal to the negative of the original matrix. 28. Are the matrices [[2, 3], [4, 5]] and [[4, 5], [2, 3]] equal? A) No. B) They are similar. C) Yes. D) They are both zero matrices. Show Answer Correct Answer: A) No. 29. Matrix multiplication can be performed to all matrices irrespective of order. A) True. B) False. C) Cannot be determined. D) None. Show Answer Correct Answer: B) False. 30. When we solve determinants do they have any numerical value? 2. do matrices have any numerical value? A) No, yes. B) Yes, yes. C) Yes, no. D) No, no. Show Answer Correct Answer: C) Yes, no. 31. Its elements are denoted by? A) Non of them. B) Numbers. C) Capital letters. D) Small letters. Show Answer Correct Answer: D) Small letters. 32. Una matriz rectangular, pero con una sola fila. A) Columna. B) Escalar. C) Fila. D) Cuadrada. Show Answer Correct Answer: C) Fila. 33. 3).For what value of $\lambda$ the following system of equations does not have a solution? x + y + z = 6, 4x + $\lambda$y-$\lambda$z = 0, 3 x + 2y-4 z =-5 A) 0. B) 3. C) -3. D) 1. Show Answer Correct Answer: B) 3. 34. A matrix having 36 elements cannot have order A) 9x4. B) 8x3. C) 36x1. D) 6x6. Show Answer Correct Answer: B) 8x3. 35. Derivative of Cos x$^{3}$ w.r.t. x = A) -3x$^{2}$ Sinx$^{3}$. B) -Sin x$^{3}$. C) Sinx$^{3}$. D) 3x$^{2}$ Sinx$^{3}$. Show Answer Correct Answer: A) -3x$^{2}$ Sinx$^{3}$. 36. If the determinant of matrix is zero, then the given matrix is called: A) Rectangular matrix. B) Equal matrix. C) Singular matrix. D) Square matrix. Show Answer Correct Answer: C) Singular matrix. 37. Al multiplicar dos matrices, una matriz $A$ $2\times3$ $B$ $3\times4$ $\left(AB\right)$ $C$ A) $2\times4$. B) $2\times3$. C) No se puede obtener. D) $3\times4$. Show Answer Correct Answer: A) $2\times4$. 38. Integral of e$^{3/2x}$ = A) (-2/3) e$^{(-3/2)x}$. B) (-3/2) e$^{(-3/2)x}$. C) (3/2) e$^{(-3/2)x}$. D) (2/3) e$^{(-3/2)x}$. Show Answer Correct Answer: A) (-2/3) e$^{(-3/2)x}$. 39. Find the determinant of the matrix G = [[3, 4], [5, 6]]. A) The determinant of the matrix G is 3*5-4*6 = 15-24 =-9. B) The determinant of the matrix G is 3*6 + 4*5 = 18 + 20 = 38. C) The determinant of the matrix G is 3*4-5*6 = 12-30 =-18. D) The determinant of the matrix G is 3*6-4*5 = 18-20 =-2. Show Answer Correct Answer: D) The determinant of the matrix G is 3*6-4*5 = 18-20 =-2. 40. If A be an n x n matrix of rank n-2; n>2 then the rank of adj A is A) N-1. B) N. C) 2. D) 0. Show Answer Correct Answer: D) 0. 41. Write the equation of the line through (2, 0) and (-1, 12) A) Y=-4x+8. B) Y=-4x+2. C) Y=-12x+8. D) Y=-12x+2. Show Answer Correct Answer: A) Y=-4x+8. 42. If A is a 3 x 3 matrix such that det (A) = 8, then det (3A) equals ..... A) 8. B) 72. C) 216. D) 24. Show Answer Correct Answer: C) 216. 43. 15). If A is any symmetric matrix then both AA' and A'A are: A) Skew symmetric matrix. B) Null matrix. C) Symmetric matrix. D) Diagonal matrix. Show Answer Correct Answer: C) Symmetric matrix. 44. K(A + B) = kA + kB, where A and B are of same order, k is constant. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 45. Rectangular array of numbers enclosed in brackets A) Matrix. B) Rectangle. C) Algebra. D) Address. Show Answer Correct Answer: A) Matrix. 46. For the non singular matrix A, (A')-1 = (A-1)'. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 47. Derivative of e$^{-7x}$ w.r.t. x = A) -7e$^{-7x}$. B) -e$^{-7x}$. C) 7e$^{-7x}$. D) E$^{-7x}$. Show Answer Correct Answer: A) -7e$^{-7x}$. 48. La matriz nula es la que sus elementos son iguales a: A) 3. B) 2. C) 1. D) 0. Show Answer Correct Answer: D) 0. 49. The Dimension of the Matrix is A) Number of element X number of rows. B) Number of Rows X Number of Columns. C) Number of Rows X Number of Rows. D) None of the above. Show Answer Correct Answer: B) Number of Rows X Number of Columns. 50. What is an inconsistent system of equations? A) A system with a unique solution. B) A system with no solution. C) A system with infinite solutions. D) A system with no variables. Show Answer Correct Answer: B) A system with no solution. 51. If A is a symmetric matrix then order of the A may be A) 1x3. B) Only Batra Sir knows. C) 4x1. D) 3x3. Show Answer Correct Answer: D) 3x3. 52. Solve the system of equations for the value of x.y = 4x+13x + 2y = 13 A) 5. B) -5. C) -1. D) 1. Show Answer Correct Answer: D) 1. 53. When solving for C in the equation CD=E using inverse matrices, you use the equation: A) C=E$^{-1}$D. B) C=D$^{-1}$E. C) C=DE$^{-1}$. D) C=ED$^{-1}$. Show Answer Correct Answer: D) C=ED$^{-1}$. 54. Es una matriz diagonal en la que todos los elementos presentes en la diagonal principal son iguales. A) Fila. B) Escalar. C) Cuadrada. D) Columna. Show Answer Correct Answer: B) Escalar. 55. The numbers within the brackets are called ..... A) Vector. B) Elements. C) Matrix. D) None of the above. Show Answer Correct Answer: B) Elements. 56. The eigenvalues of A and B are same. What can you say about matrix B? A) B is equal matrix. B) B is transpose of A. C) Both a) and b). D) None of the above. Show Answer Correct Answer: C) Both a) and b). 57. Given matrices A & B:A is a (4x33) matrixB is a (33x1) matrix What are the dimensions of the product of A times B? A) 4x33. B) Matrix does not exist. C) 33x1. D) 4x1. Show Answer Correct Answer: D) 4x1. 58. In a school competition, Aarav was asked to find the diagonal elements of a skew-symmetric matrix. What are the diagonal elements of a skew-symmetric matrix always? A) 1. B) 0. C) Equal. D) None of these. Show Answer Correct Answer: B) 0. 59. Matrix Addition is commutative. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 60. The square matrix A = $\left[a_{ij}\right]$ $a_{ij}$ $i\ne j$ $a_{ij}$ A) Unit Matrix. B) Diagonal Matrix. C) Null Matrix. D) Scalar Matrix. Show Answer Correct Answer: D) Scalar Matrix. ← PreviousNext →Related 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 5Class 12 Mathematics Chapter 3 Matrices Quiz 6Class 12 Mathematics Chapter 3 Matrices Quiz 7Class 12 Mathematics Chapter 1 Relations And Functions QuizClass 12 Mathematics Chapter 10 Vector Algebra Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books