This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 14 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 14 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. In matrices (AB)$^{t}$ equals to A) AB. B) BA. C) A$^{t}$ B$^{t}$. D) B$^{t}$ A$^{t}$. Show Answer Correct Answer: D) B$^{t}$ A$^{t}$. 2. To reduce a matric into normal form of the matrix, one can use ..... transformation. A) Row only. B) Column only. C) Both Row and Column. D) Both row or column or both. Show Answer Correct Answer: D) Both row or column or both. 3. Inverse of a square matrix, if it exists, is unique. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 4. If A and B are square matrices of equal degree, then which one is correct among the following? A) A + B = B +A. B) A + B = A-B. C) A-B = B-A. D) AB = BA. Show Answer Correct Answer: A) A + B = B +A. 5. How do we label a matrix? A) Column x Row. B) Row x Column. C) All the above. D) None of the above. Show Answer Correct Answer: B) Row x Column. 6. The determinant of unit matrix is A) 0. B) 1. C) Equal to its order. D) None of the above. Show Answer Correct Answer: B) 1. 7. If in a set of vectors any vector of the set is the linear combination of the remaining vectors, then the vectors are A) Linearly independent. B) Linearly dependent. C) Data inadequate. D) None of the above. Show Answer Correct Answer: B) Linearly dependent. 8. The slope of the straight line:3x-5y + 9 = 0 is A) -5/3. B) -3/5. C) 3/5. D) 5/3. Show Answer Correct Answer: C) 3/5. 9. What is the cofactor of the element in the first row and second column of a determinant? A) (-1)M, where M is the minor of the element. B) (-1)M, where M is the sum of the elements in the first row and second column. C) (-1)M, where M is the product of the elements in the first row and second column. D) (-1)M, where M is the square of the element. Show Answer Correct Answer: A) (-1)M, where M is the minor of the element. 10. If a matrix A has an eigenvalue of zero, what can be inferred about the matrix A? A) A is invertible. B) A is singular. C) A must be diagonal. D) A has full rank. Show Answer Correct Answer: B) A is singular. 11. Solve the system of equations using an inverse matrix:2x + 3y = 7 and 4x + y = 9. A) The solution is x = 2 and y = 1. B) The solution is x = 1 and y = 2. C) The solution is x = 3 and y = 1. D) The solution is x = 1 and y = 1. Show Answer Correct Answer: A) The solution is x = 2 and y = 1. 12. Identity Matrix is A) All the main diagonal elements are 1's and all the remaining elements are zero's. B) All the main diagonal elements are zeros and all the remaining elements are one. C) All the main diagonal elements are Not one and all the remaining elements are one. D) None of the above. Show Answer Correct Answer: A) All the main diagonal elements are 1's and all the remaining elements are zero's. 13. Integral of Cot 6x = A) (log Cos 6x)/6. B) (log Sin 6x)/6. C) -(log Sin 6x)/6. D) -(log Cos 6x)/6. Show Answer Correct Answer: B) (log Sin 6x)/6. 14. The Element $a_{23}$ A) In the second Row and third Column. B) In the third Row and second Column. C) In the second Column and third Row. D) None of the above. Show Answer Correct Answer: A) In the second Row and third Column. 15. For any Square Matrix, A + $A^T$ A) Symmetric. B) Skew-Symmetric. C) NULL mATRIX. D) NONE OF THESE. Show Answer Correct Answer: A) Symmetric. 16. Perform the multiplication of the matrices [[1, 2], [3, 4]] and [[0, 1], [1, 0]]. A) [[0, 2], [4, 1]]. B) [[2, 1], [4, 3]]. C) [[3, 4], [1, 2]]. D) [[1, 0], [2, 3]]. Show Answer Correct Answer: B) [[2, 1], [4, 3]]. 17. If the points A(3, -2), B(k, 2) and C(8, 8) are collinear, then the value of k is: A) 2. B) -3. C) 5. D) -4. Show Answer Correct Answer: C) 5. 18. If $\lambda$ is an eigenvalue of matrix A, then linear system (A-$\lambda$I)v=0 has only trivial solution. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 19. If a matrix A is both symmetric and skew-symmetric then A) A is a diagonal matrix. B) A is a square matrix. C) A is a zero matrix. D) None of these. Show Answer Correct Answer: C) A is a zero matrix. 20. Square matrix: A) M not= n. B) M=n=0. C) M=n. D) Nota. Show Answer Correct Answer: C) M=n. 21. Classify the matrix [[1, 2, 3], [0, 0, 0]] by its type. A) Diagonal matrix (non-deficient). B) Square matrix (full rank). C) Identity matrix (rank-deficient). D) Rectangular matrix (rank-deficient). Show Answer Correct Answer: D) Rectangular matrix (rank-deficient). 22. If the matrix AB is zero, then A) It is not necessary that either A = O or B = O. B) A = O or B = 0. C) A = O and B = O. D) All the above statements are wrong. Show Answer Correct Answer: A) It is not necessary that either A = O or B = O. 23. Para obtener la transpuesta de una matriz se tiene que A) Cambiar las filas por las columnas. B) Cambiar el signo de los elementos de la matriz. C) Las dos anteriores. D) Ninguna. Show Answer Correct Answer: A) Cambiar las filas por las columnas. 24. Null Matrix has determinant of (a) A) A. 0. B) 1. C) None. D) None of the above. Show Answer Correct Answer: A) A. 0. 25. El producto de dos matrices de orden 3x3 y 2x3 produce como resultado una matriz de orden: A) 2x3. B) No es posible. C) 3x2. D) 3x3. Show Answer Correct Answer: B) No es posible. ← PreviousNext →Related 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