This quiz works best with JavaScript enabled. Home > Cbse > Class 12 > Science > Mathematics > Class 12 Mathematics Chapter 3 Matrices – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What comes first in the dimension? A) Row. B) Column. C) All the above. D) None of the above. Show Answer Correct Answer: A) Row. 2. Diagonal elements of a skew symmetric matrix are all zero A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 3. Cual de las siguientes no es una operacion con matrices. A) Producto de matrices. B) Suma de matrices. C) Raiz de matrices. D) Resta de matrices. Show Answer Correct Answer: C) Raiz de matrices. 4. Which of these expressions can be substituted for x in the second equation? $x+y=12$ $5x=-10y+20$ A) $y+12$. B) $-x+12$. C) $y-12$. D) $-y+12$. Show Answer Correct Answer: D) $-y+12$. 5. If two matrices A and B are of the same order, then 2A + B = B + 2A. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 6. Determine if the matrices [[1, 2], [3, 4]] and [[1, 2], [3, 4]] are equal. A) The matrices are equal but not identical. B) The matrices cannot be compared. C) Yes, the matrices are equal. D) No, the matrices are not equal. Show Answer Correct Answer: C) Yes, the matrices are equal. 7. If A is an ORTHOGONAL MATRIX, then $A^{-1}=$ A) $A^T$. B) A. C) -A. D) $-A^T$. Show Answer Correct Answer: A) $A^T$. 8. La entrada $a_{42}$ A) Fila y columna igual. B) Segunda entrada. C) Fila 2 y columna 4. D) Segunda columna y cuarta fila. Show Answer Correct Answer: D) Segunda columna y cuarta fila. 9. Derivative of x$^{-9/5 }$w.r.t. x = A) (-9/5) x$^{-4/5}$. B) (9/5) x$^{14/5}$. C) (-9/5) x$^{-14/5}$. D) (9/5) x$^{4/5}$. Show Answer Correct Answer: C) (-9/5) x$^{-14/5}$. 10. A matrix which is formed by turning all rows of a given matrix into columns and vice-versa is called A) Transpose matrix. B) Augmented matrix. C) Skew matrix. D) Identity matrix. Show Answer Correct Answer: A) Transpose matrix. 11. The intercepts of the line 3x-2y+6=0 are A) -2, -3. B) -2, 3. C) 2, -3. D) 2, 3. Show Answer Correct Answer: B) -2, 3. 12. Using Remainder Theorem, factorise:x$^{3}$ + 10x$^{2}$-37x + 26 completely. A) (x + 1) (x +13) (x-2). B) (x-1) (x-13) (x-2). C) (x + 1) (x-13) (x-2). D) (x-1) (x +13) (x-2). Show Answer Correct Answer: D) (x-1) (x +13) (x-2). 13. Identify the order of the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]. A) 2x4. B) 3x3. C) 3x2. D) 4x2. Show Answer Correct Answer: B) 3x3. 14. Para sumar dos matrices A+B ..... A) Alcanza con que la cantidad de filas de A sea igual a la cantidad de columnas B. B) Tienen que tener el mismo orden. C) Alcanza con que la cantidad de columnas de A sea igual a la cantidad de filas de B,. D) Tienen que tener diferente orden. Show Answer Correct Answer: B) Tienen que tener el mismo orden. 15. *Determinant of an orthogonal matrix of any order is always A) 2 or-2. B) 1 or-1. C) 0. D) May be any number. Show Answer Correct Answer: B) 1 or-1. 16. If $\lambda$ is the eigenvalue of A, then the eigenvalue of kA is A) K$\lambda$. B) K + $\lambda$. C) $\lambda$/k. D) K-$\lambda$. Show Answer Correct Answer: A) K$\lambda$. 17. La matriz identidad es aquella que ..... A) Tiene todo unos. B) Tiene unos en la diagonal y ceros en el resto. C) El 1. D) Tiene todos ceros. Show Answer Correct Answer: B) Tiene unos en la diagonal y ceros en el resto. 18. The rank of the quadratic form is A) No. of positive eigenvalues. B) No. of positive eigenvalues-No. of negative eigenvalues. C) No. of non-zero eigenvalues. D) None of the above. Show Answer Correct Answer: C) No. of non-zero eigenvalues. 19. Each value in a matrix it is called A) Matrix Multiplication. B) Entry. C) Address. D) Scalar. Show Answer Correct Answer: B) Entry. 20. Is the statement true?Every diagonal matrix is a square matrix, but not every square matrix is a diagonal matrix. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 21. Inverse of a matrix P exists if and only if A) P is a singular matrix. B) P is a rectangula matrix. C) P is a non-singular matrix. D) P is a square matrix. Show Answer Correct Answer: C) P is a non-singular matrix. 22. El determinante de la matriz unidad (o identidad) es: A) 1. B) 2. C) 3. D) 0. Show Answer Correct Answer: A) 1. 23. What is the formula for the area of a triangle with vertices (x1, y1), (x2, y2) and (x3, y3)? A) 1/2(x1(y3-y2) + x2(y1-y3) + x3(y2-y1)). B) 1/2(x2(y1-y3) + x3(y2-y1) + x1(y3-y2)). C) 1/2(x3(y2-y1) + x1(y3-y2) + x2(y1-y3)). D) 1/2(x1(y2-y3) + x2(y3-y1) + x3(y1-y2)). Show Answer Correct Answer: D) 1/2(x1(y2-y3) + x2(y3-y1) + x3(y1-y2)). 24. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x. A) 3. B) 5. C) 4. D) 2. Show Answer Correct Answer: B) 5. 25. When you multiply a matrix by the inverse matrix, you obtain the ..... A) Inverse matrix. B) Identity matrix. C) Original matrix. D) Opposite matrix. Show Answer Correct Answer: B) Identity matrix. 26. If matrix A is of order 2x3 and matrix B is of order 3x1 then order of AB is A) 3x1. B) 2x1. C) 1x3. D) 1x2. Show Answer Correct Answer: B) 2x1. 27. 11). What is the element in the 2nd row and 1st column of a 2 x 2 Matrix A = [ a$_{ij}$], such that a = (i + 3) (j-1) A) -5. B) 0. C) 4. D) 5. Show Answer Correct Answer: B) 0. 28. When adding matrices, you add the corresponding elements in each matrix. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 29. Any square matrix can be expressed as the sum of a symmetric and askew symmetric matrix. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 30. If a matrix is both symmetric and skew symmetric, then A) An upper triangular matrix. B) A is a diagonal matrix. C) A diagonal matrix. D) A is a zero matrix. Show Answer Correct Answer: D) A is a zero matrix. 31. If a matrix has 18 elements, what are the possible orders it can have? A) 7. B) 5. C) 6. D) 8. Show Answer Correct Answer: C) 6. 32. Matices que Busca una respuesta clara A) Abierta. B) Retorica. C) Mas o menos cargada. D) Genuina. Show Answer Correct Answer: D) Genuina. 33. A is a skew symmetric matrix if A' =-A. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 34. Is diagonal matrix is a square matrix? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 35. Diagonal Matrix is: A) A Matrix which all entries are zero. B) A Matrix which entries are one. C) A Matrix which diagonal entries are not zero's and the entries outside the main diagonal are all zero's. D) None of the above. Show Answer Correct Answer: C) A Matrix which diagonal entries are not zero's and the entries outside the main diagonal are all zero's. 36. The system of equations x+y+z=0, 3x+6y+z=0, $\alpha$x+2y+z=0 has infinitely many solutions then $\alpha$ is equal to A) 7. B) 5/7. C) 7/5. D) 5. Show Answer Correct Answer: C) 7/5. 37. The system of equations, 4x$_{1}$+ x$_{2}$-3x$_{3}$-x$_{4}$=0, 2x$_{1}$+ 3 x$_{2}$+ x$_{3}$-5x$_{4}$=0, x$_{1}$-2x$_{ 2}$-2x$_{ 3}$+ 3x$_{ 4}$=0 has A) Only one solution. B) Infinite number of solutions. C) Only two solutions. D) No solution. Show Answer Correct Answer: B) Infinite number of solutions. 38. What is a Matrix? A) An equation of over 5 numbers or symbols. B) A rectangular array of numbers in rows and column. C) A method of finding the n$^{th}$ value of a series. D) A complicated number system. Show Answer Correct Answer: B) A rectangular array of numbers in rows and column. 39. Solve for y:2x + y = 12-3x + y = 2 A) -2. B) 2. C) 8. D) -8. Show Answer Correct Answer: C) 8. 40. You can multiply a 6X2 matrix by which matrix? A) 6X2. B) 2X12. C) 3X12. D) 6x3. Show Answer Correct Answer: B) 2X12. 41. A square matrix in which all the elements except at least the one element in the diagonal are zeros is said to be a A) Null/zero matrix. B) Diagonal matrix. C) Identical matrix. D) Column matrix. Show Answer Correct Answer: B) Diagonal matrix. 42. What is the area of a triangle with vertices (1, 2), (4, 5) and (7, 8)? A) 9. B) 6. C) 12. D) 15. Show Answer Correct Answer: A) 9. 43. Que es una matriz Triangular inferior A) Es una matriz cuadrada todos sus elementos situados por debajo de la diagonal son cero. B) Es una matriz 2x3 todos sus elementos situados por encima de la diagonal son cero. C) Es una matriz cuadrada todos sus elementos situados por encima de la diagonal son cero. D) Es una matriz rectangular todos sus elementos situados por encima de la diagonal son cero. Show Answer Correct Answer: C) Es una matriz cuadrada todos sus elementos situados por encima de la diagonal son cero. 44. El producto de dos matrices de orden 2x3 y 3x3 produce como resultado una matriz de orden: A) 3x3. B) 2x2. C) 2x3. D) 3x2. Show Answer Correct Answer: C) 2x3. 45. Una matriz invertible tiene determinante nulo A) Cierto. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: B) Falso. 46. If area of a triangle with vertices (3, 2), (-1, 4) and (6, k) is 7 sq units, then possible values of k are ..... A) -3. B) 4. C) -4. D) 3. Show Answer Correct Answer: A) -3. 47. En la matriz identidad es donde los elementos de la diagonal principal son iguales a 1 A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Verdadero. 48. What least number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional? A) 2. B) 1. C) 4. D) 3. Show Answer Correct Answer: D) 3. 49. If matrices A and B are inverse of each other then A) AB = BA. B) AB = BA = I. C) AB = BA = 0. D) AB = 0, BA = I. Show Answer Correct Answer: B) AB = BA = I. 50. Matrix multiplication involves both multiplication and addition. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 51. For a square matrix A, A+A' is always a A) May be symmetric or may be skew symmetric. B) Symmetric matrix. C) Skew Symmetric matrix. D) Can't say . Show Answer Correct Answer: B) Symmetric matrix. 52. When solving a system AX=C using inverse matrices, you use the equation: A) X=A$^{-1}$C. B) C=X$^{-1}$A. C) A=X$^{-1}$C. D) X=C$^{-1}$A. Show Answer Correct Answer: A) X=A$^{-1}$C. 53. Solve by substitution. Tell the sum of x and y. $y=5x-5$ $5x+3y=5$ A) 5. B) 0. C) 1. D) -5. Show Answer Correct Answer: C) 1. 54. Solve for y:3x + 4y = 52 5x + y = 30 A) 10. B) -10. C) 4. D) -4. Show Answer Correct Answer: A) 10. 55. An n x n matrix consisting of 1's on its main diagonal and 0's elsewhere is called ..... Satu matriks n X n mengandungi 1 pada pepenjuru utama dan 0 bagi unsur yang lain-lain ialah ..... A) Identity matrixMatriks Identiti. B) Row matrixMatriks baris. C) Inverse matrixMatriks songsang. D) Square matrixMatriks Segi empat sama. Show Answer Correct Answer: A) Identity matrixMatriks Identiti. 56. A zero matrix has not all its elements as zero. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 57. Palabra reservada en matlab para crear funciones A) Size. B) Input. C) End. D) Function. Show Answer Correct Answer: D) Function. 58. The transpose of a column matrix is A) Zero matrix. B) Diagonal matrix. C) Row matrix. D) Column matrix. Show Answer Correct Answer: C) Row matrix. 59. Permite saltar de dominio para buscar patrones, es una matriz llamada A) Ortogonal. B) Transversal. C) Horizontal. D) Vertical. Show Answer Correct Answer: B) Transversal. 60. If the determinant of a matrix is zero then, name the matrix A) Non-singular matrix. B) Triangular matrix. C) Identity matrix. D) Singular matrix. Show Answer Correct Answer: D) Singular matrix. ← PreviousNext →Related QuizzesScience QuizzesClass 12 QuizzesClass 12 Mathematics Chapter 3 Matrices Quiz 1Class 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