This quiz works best with JavaScript enabled. Home > Cbse > Class 12 > Science > Mathematics > Class 12 Mathematics Chapter 3 Matrices – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the determinant of the matrix [[1, 2], [3, 4]]? A) -1. B) -2. C) 0. D) 2. Show Answer Correct Answer: B) -2. 2. Two matrices can be added if they are A) Row matrices. B) Column matrices. C) Square matrices. D) Of same size. Show Answer Correct Answer: D) Of same size. 3. Bucle y lazo significa lo mismo A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Verdadero. 4. How many columns are there in a 5x4 matrix? A) 4. B) 20. C) 9. D) 5. Show Answer Correct Answer: A) 4. 5. Matices que Son preguntas que tienen varias respuestas es A) Ma o menos cargada. B) Cargada. C) Abierta. D) Cerrada. Show Answer Correct Answer: B) Cargada. 6. Una matriz rectangular, pero con una sola columna. A) Rectangular. B) Escalar. C) Columna. D) Fila. Show Answer Correct Answer: C) Columna. 7. How many types of matrices are there? A) 5. B) 2. C) 11. D) 4. Show Answer Correct Answer: C) 11. 8. Square matrix B is known as skew symmetric if A) B=B'. B) B'+B=0. C) B-B'=0. D) None of these. Show Answer Correct Answer: B) B'+B=0. 9. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = ..... A) -2. B) 3. C) 1. D) 2. Show Answer Correct Answer: D) 2. 10. Given the determinant, determine which system would have one unique solution. A) Det (A) =-3. B) Det (A) = 0. C) All the above. D) None of the above. Show Answer Correct Answer: A) Det (A) =-3. 11. A matrix is an ordered rectangular array of numbers or functions. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 12. The following equations relate the number of children (x) and adults (y) who bought tickets for a Thanksgiving dinner and the money collected in ticket sales. $x+y=2200$ $1.5x+4y=5050$ A) Ticket sales totaled $ 2200. B) Adult tickets cost $ 4 each. C) 5050 people attended the event. D) Four adults purchased tickets. Show Answer Correct Answer: B) Adult tickets cost $ 4 each. 13. If A and B are square matrices of the same order, then (A + B) (A-B) is equal to A) A$^{2}$-BA-AB-B$^{2}$. B) A$^{2}$-BA + B$^{2}$ + AB. C) A$^{2}$-B$^{2}$. D) A$^{2}$-B$^{2 }$+ BA-AB. Show Answer Correct Answer: D) A$^{2}$-B$^{2 }$+ BA-AB. 14. If A and B are symmetric matrices of the same order, then (AB'-BA') is a A) Skew symmetric matrix. B) Null matrix. C) Symmetric matrix. D) None of these. Show Answer Correct Answer: A) Skew symmetric matrix. 15. *Determinant of a skew-symmetric matrix of odd order is always A) May be any number. B) 0. C) 1. D) -1. Show Answer Correct Answer: B) 0. 16. Find the sum of the matrices A = [[2, 3], [4, 5]] and B = [[1, 2], [3, 4]]. A) [[5, 7], [9, 11]]. B) [[1, 3], [2, 4]]. C) [[3, 5], [7, 9]]. D) [[6, 8], [10, 12]]. Show Answer Correct Answer: C) [[3, 5], [7, 9]]. 17. A matrix is a rectangular group of numbers set out in A) Squares. B) Rectangles. C) Columns and rows. D) Rows and columns. Show Answer Correct Answer: D) Rows and columns. 18. Solve using matrices. $2x+y+z=4$ $3x+4z=11+y$ $-y+5z=20-x$ A) X = 1y =-1z =-1. B) X = 2y = 3z = 1. C) X =-2y = 3z = 5. D) X = 4y = 11z = 20. Show Answer Correct Answer: C) X =-2y = 3z = 5. 19. In a mathematics class, a square matrix is considered symmetric if A) The transpose of the matrix is equal to the matrix itself. B) The transpose of the matrix is equal to the negative of the matrix. C) The matrix is equal to the zero matrix. D) None of these. Show Answer Correct Answer: B) The transpose of the matrix is equal to the negative of the matrix. 20. What are the dimensions of the product of [2X4] * [3x4]? A) [4x3]. B) [3x2]. C) [2x4]. D) Not possible. Show Answer Correct Answer: D) Not possible. 21. The eigenvector corresponding to distinct eigenvalues of a real symmetric matrix are A) Does not exist. B) Orthogonal. C) Have repeated vectors. D) Unitary. Show Answer Correct Answer: B) Orthogonal. 22. The multiplicative inverse is not possible of: A) Equal matrix. B) Singular matrix. C) Square matrix. D) Rectangular matrix. Show Answer Correct Answer: B) Singular matrix. 23. The law which does not hold in multiplication of matrices is known as A) Commutative law. B) Inverse law. C) Distributive law. D) Associative law. Show Answer Correct Answer: A) Commutative law. 24. If the number of rows of matrix A is equal to the number of columns then A is called A) Null matrix. B) Equal matrix. C) Square matrix. D) Rectangular matrix. Show Answer Correct Answer: C) Square matrix. 25. If the order of a matrix A is 2 x 4 and B is of the matrix 4 x 7, then AB is of order A) 7 x 7. B) 2 x 7. C) 2 x 2. D) 7 x 2. Show Answer Correct Answer: B) 2 x 7. 26. Una matriz admite inversa (es inversible) si ..... A) No tiene determinante. B) Su determinante es cero. C) Su determinante es distinto de cero. D) Si se puede dividir. Show Answer Correct Answer: C) Su determinante es distinto de cero. 27. If A and B are square matrices of the same order then, AB'-BA' is a A) Skew-symmetric matrix. B) Unit matrix. C) Symmetric matrix. D) Null matrix. Show Answer Correct Answer: A) Skew-symmetric matrix. 28. How many elements are there in a matrix of order 3x5? A) 8. B) 3. C) 15. D) 5. Show Answer Correct Answer: C) 15. 29. Guess the matrices:1. 0 0 0 2. 0 0 0 A) 1. upper triangular matrices2. lower triangular matrices. B) 1. lower triangular matrices2. upper triangular matrices. C) All the above. D) None of the above. Show Answer Correct Answer: A) 1. upper triangular matrices2. lower triangular matrices. 30. If A is a square matrix such that $A^2=A$ $\left(I+A\right)^3$ A) 2I. B) A. C) I. D) NONE OF THE ABOVE. Show Answer Correct Answer: C) I. 31. What is the minor of an element aij of a determinant? A) The sum of the elements in the ith row and jth column. B) The determinant obtained by deleting the ith row and jth column. C) The product of the elements in the ith row and jth column. D) The square of the element aij. Show Answer Correct Answer: B) The determinant obtained by deleting the ith row and jth column. 32. What are the conditions for two matrices to be called 'EQUAL'? A) The same order and different element values. B) The same order and the same element values. C) Two matrices can never be equal. D) Two matrices are 'equal' when they are added together to create a matrix of only "0's". Show Answer Correct Answer: B) The same order and the same element values. 33. Matrix multiplication is commutative. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 34. 13). If A$^{2}$-A + I = O, then the inverse of A is A) I-A. B) A-. C) A. D) A + I. Show Answer Correct Answer: A) I-A. 35. If A and B are symmetric matrices of same order then AB-BA is A) Not defined. B) A skew symmetric matrix. C) A symmetric matrix. D) Always a null matrix. Show Answer Correct Answer: B) A skew symmetric matrix. 36. A homogeneous system of linear equations will have no non zero solution A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 37. What is a Diagonal Matrix? A) A Square matrix whose all diagonal elements are zero. B) A Square matrix whose all non-diagonal elements are zero. C) A Square matrix whose all diagonal elements are zero and non-diagonal elements are non-zero. D) A Square matrix whose all non-diagonal elements are zero and diagonal elements non-zero. Show Answer Correct Answer: B) A Square matrix whose all non-diagonal elements are zero. 38. Si $A, B, C$ $AB=AC$ $B=C$ A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: B) Falso. 39. Given the determinant, determine which system would have infinitely many solutions. A) Det (A) = 5. B) Det (A) = 0. C) All the above. D) None of the above. Show Answer Correct Answer: B) Det (A) = 0. 40. If A$^{t}$ =-A then A is said to be A) Transpose. B) Square matrix. C) Symmetric. D) Skew symmetric. Show Answer Correct Answer: D) Skew symmetric. 41. The rank of every non-singular matrix of order n is ..... A) N. B) 2. C) 1. D) 0. Show Answer Correct Answer: A) N. 42. If the sum of two real number is zero then number are called: A) Equal matrices. B) Additive inverse of each other. C) Multiplicative inverse of each other. D) Null matrices. Show Answer Correct Answer: B) Additive inverse of each other. 43. We can add two matrices having real numbers A and B if their A) Columns are same. B) Elements are same. C) Order is same. D) Rows are same. Show Answer Correct Answer: C) Order is same. 44. The equation of the line through (-1, 2) having slope-3 is A) 3x+y-5=0. B) X+3y-5=0. C) X+3y-7=0. D) 3x+y+1=0. Show Answer Correct Answer: D) 3x+y+1=0. 45. The equation of a line through the points (0, 1) and (3, 2) is A) X+3y-3=0. B) X-3y+3=0. C) X-3y-3=0. D) X+3y+3=0. Show Answer Correct Answer: B) X-3y+3=0. 46. A square matrix with all its elements zero, except elements in the leading diagonal is called a: A) Diagonal matrix. B) Non-diagonal matrix. C) Rectangular matrix. D) Square matrix. Show Answer Correct Answer: A) Diagonal matrix. 47. Si $A$ $A^2=0$ $A=0$ A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: B) Falso. 48. An identity matrix is A) If number of columns and rows are equal. B) A matrix obtained by interchanging its rows and columns. C) If number of columns and rows are not equal. D) A square matrix whose diagonal elements are unity and all other elements are zero. Show Answer Correct Answer: D) A square matrix whose diagonal elements are unity and all other elements are zero. 49. What is the minor of the element in the second row and third column of a determinant? A) The square of the element in the second row and third column. B) The product of the elements in the second row and third column. C) The sum of the elements in the second row and third column. D) The determinant obtained by deleting the second row and third column. Show Answer Correct Answer: D) The determinant obtained by deleting the second row and third column. 50. If A & B are two matrices of the same order such that AB=BA, then which one is not true always A) A is diagonal and B is any matrix. B) A and B both diagonal. C) A is scalar and B is diagonal matrix. D) A is scalar and B is any matrix. Show Answer Correct Answer: A) A is diagonal and B is any matrix. 51. The equation |A-$\lambda$I|=0 is called the A) Characteristic polynomial. B) Eigen values. C) Characteristic equation. D) Characteristic matrix. Show Answer Correct Answer: C) Characteristic equation. 52. Matrices can be multiplied only ..... A) If the row of the first matrix is equal to the row of the second matrix. B) If the column of the first matrix is equal to the column of the second matrix. C) If the column of the first matrix is equal to the row of the second matrix. D) If the row of the first matrix is equal to the column of the second matrix. Show Answer Correct Answer: C) If the column of the first matrix is equal to the row of the second matrix. 53. Methods to find rank of a matrix A) By calculating non-zero minors. B) By triangular form. C) By echelon form. D) By normal form. E) All of the above. Show Answer Correct Answer: E) All of the above. 54. If A and B re two matrices such that AB = B and BA = A then A$^{2}$ + B$^{2}$ is equal to A) 2BA. B) 2AB. C) AB. D) A+ B. Show Answer Correct Answer: D) A+ B. 55. La entrada a$_{42 }$de una matriz representa A) El elemento ubicado en la fila 2 y columna 4. B) El elemento ubicado en la segunda columna y cuarta fila. C) El elemento ubicado en la fila y columna iguales. D) El elemento ubicado en la segunda entrada. Show Answer Correct Answer: B) El elemento ubicado en la segunda columna y cuarta fila. 56. If for a matrix A, A$^{2}$ = I, then find A$^{-1}$. A) A. B) I. C) O. D) None of these. Show Answer Correct Answer: A) A. 57. If A is an SYMMETRIC MATRIX, then $A^T=$ A) -A. B) $-A^T$. C) $A^{-1}$. D) A. Show Answer Correct Answer: D) A. 58. Sea $A$ $A^{-1}A=AA^{-1}$ A) Cierto. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Cierto. 59. If |A| = 0, then the given matrix is called: A) Square matrix. B) Equal matrix. C) Singular matrix. D) Rectangular matrix. Show Answer Correct Answer: C) Singular matrix. 60. Find the values of m and n so that x-1 and x + 2 both are factors of x$^{3}$ + (3m + 1) x$^{2}$ + nx-18. A) M = 3, n =-7. B) M =-3, n =-7. C) M =-3, n = 7. D) M = 3, n = 7. Show Answer Correct Answer: D) M = 3, n = 7. Next →Related QuizzesScience QuizzesClass 12 QuizzesClass 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 1 Relations And Functions QuizClass 12 Mathematics Chapter 10 Vector Algebra Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books