This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 11 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Es una matriz diagonal en la que todos los elementos presentes en la diagonal principal son iguales. A) Fila. B) Cuadrada. C) Columna. D) Escalar. Show Answer Correct Answer: D) Escalar. 2. The numbers within the brackets are called ..... A) Vector. B) Elements. C) Matrix. D) None of the above. Show Answer Correct Answer: B) Elements. 3. 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). 4. 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) 4x1. B) 4x33. C) 33x1. D) Matrix does not exist. Show Answer Correct Answer: A) 4x1. 5. 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. 6. Matrix Addition is commutative. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 7. The square matrix A = $\left[a_{ij}\right]$ $a_{ij}$ $i\ne j$ $a_{ij}$ A) Unit Matrix. B) Null Matrix. C) Scalar Matrix. D) Diagonal Matrix. Show Answer Correct Answer: C) Scalar Matrix. 8. *IfA isany square matrix and A' is transpose of its. Then A-A' isalso a matrix of type A) *Non-Square Matrix. B) *DiagonalMatrix. C) *Non-diagonal Matrix. D) *Skew-symmetric Matrix. Show Answer Correct Answer: D) *Skew-symmetric Matrix. 9. Una matriz invertible debe ser cuadrada A) Cierto. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Cierto. 10. A is not a symmetric matrix if A' = A. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 11. When is a matrix A said to have a non-zero solution A) If rank of A is 1. B) If |A| not equal to 0. C) If |A|=0. D) If rank of A is 0. Show Answer Correct Answer: C) If |A|=0. 12. Question 8 A) 12-16 194 8 223-9-4. B) 14-4 54-2 38-3-1 14. C) No solution. D) None of the above. Show Answer Correct Answer: A) 12-16 194 8 223-9-4. 13. If det(A) is zero, then the matrix is ..... A) Non-determinant matrix. B) Singular matrix. C) Null matrix. D) None of the above. Show Answer Correct Answer: B) Singular matrix. 14. Tim will start a lawn mowing service. His expenses will be $ 400 to purchase a lawnmower and $ 1.50 per lawn for gas. His income will be $ 20 per mowed lawn. The profit equation for this scenario before being simplified would be: A) $P=20x$. B) $P=1.50x+400$. C) $P=20x-1.50x+400$. D) $P=20x-\left(1.50x+400\right)$. Show Answer Correct Answer: D) $P=20x-\left(1.50x+400\right)$. 15. Classify the matrix [[0, 0], [0, 0]] by its type. A) Symmetric matrix. B) Diagonal matrix. C) Identity matrix. D) Zero matrix. Show Answer Correct Answer: D) Zero matrix. 16. A matrix of order $3\times3$ A) Diagonal Matrix. B) Scalar Matrix. C) Zero Matrix. D) Square Matrix. Show Answer Correct Answer: D) Square Matrix. 17. What kind of a solution exists for a system of linear equations if n=r, where n is number of unknowns and r is the rank A) Unique solution. B) Zero solution. C) Infinitely many solutions. D) No solution. Show Answer Correct Answer: A) Unique solution. 18. Solve the following system of equations x-y + z = 4, x-2y + 2z = 9 and 2x + y + 3z = 1. A) X =-4, y =-3, z = 2. B) X =-1, y =-3, z = 2. C) X = 2, y = 4, z = 6. D) X = 3, y = 6, z = 9. Show Answer Correct Answer: B) X =-1, y =-3, z = 2. 19. A matrix has rank r if A) I) It has at least one non-zero minor of order r. B) Ii) Every minor of order higher than r vanishes. C) Both (i) and (ii). D) None of these. Show Answer Correct Answer: C) Both (i) and (ii). 20. Non-trivial solution X of the equation AX=$\lambda$X is called A) I) Eigen values. B) Ii) Eigen vectors. C) Both (i) and (ii). D) None of these. Show Answer Correct Answer: B) Ii) Eigen vectors. 21. En una matriz nula todos los elementos son ceros A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Verdadero. 22. Inverse of a square matrix is ..... if it exists A) Different. B) Exists. C) Unique. D) None of the above. Show Answer Correct Answer: C) Unique. 23. Si tengo una matriz A sus elementos se nombran con la letra A) A. B) B. C) A. D) B. Show Answer Correct Answer: A) A. 24. Calculate the product of the matrices [[1, 0], [0, 1]] and [[5, 6], [7, 8]]. A) [[12, 14], [16, 18]]. B) [[5, 6], [7, 8]]. C) [[1, 0], [0, 1]]. D) [[5, 7], [6, 8]]. Show Answer Correct Answer: B) [[5, 6], [7, 8]]. 25. The area of a triangle with vertices (-3, 0), (3, 0) and (0, k) is 9 sq. units. The value of k will be A) 9. B) 3. C) -9. D) 6. Show Answer Correct Answer: B) 3. ← 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