This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 2 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The multiplicative inverse is not possible of: A) Square matrix. B) Equal matrix. C) Rectangular matrix. D) Singular matrix. Show Answer Correct Answer: D) Singular matrix. 2. The law which does not hold in multiplication of matrices is known as A) Distributive law. B) Inverse law. C) Associative law. D) Commutative law. Show Answer Correct Answer: D) Commutative law. 3. If the number of rows of matrix A is equal to the number of columns then A is called A) Square matrix. B) Equal matrix. C) Rectangular matrix. D) Null matrix. Show Answer Correct Answer: A) Square matrix. 4. 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) 2 x 7. B) 7 x 2. C) 2 x 2. D) 7 x 7. Show Answer Correct Answer: A) 2 x 7. 5. Una matriz admite inversa (es inversible) si ..... A) Si se puede dividir. B) No tiene determinante. C) Su determinante es distinto de cero. D) Su determinante es cero. Show Answer Correct Answer: C) Su determinante es distinto de cero. 6. If A and B are square matrices of the same order then, AB'-BA' is a A) Skew-symmetric matrix. B) Symmetric matrix. C) Null matrix. D) Unit matrix. Show Answer Correct Answer: A) Skew-symmetric matrix. 7. How many elements are there in a matrix of order 3x5? A) 8. B) 15. C) 3. D) 5. Show Answer Correct Answer: B) 15. 8. 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. 9. 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. 10. 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. 11. 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. 12. Matrix multiplication is commutative. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 13. 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. 14. 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. 15. 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. 16. 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. 17. 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. 18. 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. 19. Question 14 A) 2 37 11. B) -2-3-7-11. C) No solution. D) 16 9-1 7. Show Answer Correct Answer: A) 2 37 11. 20. If A$^{t}$ =-A then A is said to be A) Square matrix. B) Skew symmetric. C) Transpose. D) Symmetric. Show Answer Correct Answer: B) Skew symmetric. 21. The rank of every non-singular matrix of order n is ..... A) 1. B) 0. C) 2. D) N. Show Answer Correct Answer: D) N. 22. If the sum of two real number is zero then number are called: A) Equal matrices. B) Null matrices. C) Additive inverse of each other. D) Multiplicative inverse of each other. Show Answer Correct Answer: C) Additive inverse of each other. 23. We can add two matrices having real numbers A and B if their A) Order is same. B) Rows are same. C) Columns are same. D) Elements are same. Show Answer Correct Answer: A) Order is same. 24. The equation of the line through (-1, 2) having slope-3 is A) 3x+y+1=0. B) 3x+y-5=0. C) X+3y-5=0. D) X+3y-7=0. Show Answer Correct Answer: A) 3x+y+1=0. 25. 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: A) X-3y+3=0. ← PreviousNext →Related 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 3 Matrices Quiz 8Class 12 Mathematics Chapter 3 Matrices Quiz 9Class 12 Mathematics Chapter 3 Matrices Quiz 10Class 12 Mathematics Chapter 3 Matrices Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books