This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 9 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If A is a square matrix such that A2 = I, then (A-I)3 + (A + I)3-7A is equal to A) A. B) I-A. C) I + A. D) 3A. Show Answer Correct Answer: A) A. 2. If A is symmetric as well as skew-symmetric, then A is ..... A) Diagonal matrix. B) Null matrix. C) Identity Matrix. D) Triangular matrix. Show Answer Correct Answer: B) Null matrix. 3. What is the maximum rank of [2x5] matrix A) 5. B) 2. C) 1. D) None of these. Show Answer Correct Answer: B) 2. 4. To add or subtract matrices, which of the following must be true? A) They are the same matrix. B) They have the same dimensions. C) Rows in the 1st matrix must have the same # of terms as the columns as the 2nd matrix. D) All matrices can be added. Show Answer Correct Answer: B) They have the same dimensions. 5. If a matrix as 18 elements, then number of possible orders are A) 6. B) 4. C) 8. D) 7. Show Answer Correct Answer: A) 6. 6. 10). If A and B are two matrices conformable to multiplication such that their product AB = O (Zero matrix). Then which of the following is true A) A and B are both null matrices. B) Either of A is or B is a null matrix. C) Neither of them may be a zero matrix. D) All of the above options are correct. Show Answer Correct Answer: D) All of the above options are correct. 7. Encuentre las soluciones del sistema:4x + 5y =-13x-3y = 6 A) X = 1, y = 1. B) X = 2, y =-2. C) X = 1, y =-1. D) X =-1, y = 1. Show Answer Correct Answer: C) X = 1, y =-1. 8. A homogeneous system of linear equations has atleast a zero solution A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 9. What if r A) Unique solution. B) Zero solution. C) Infinitely many solutions. D) No solution. Show Answer Correct Answer: C) Infinitely many solutions. 10. The sum of the eigenvalues is equal to A) The product of diagonal elements. B) DetA. C) Sum of the diagonal elements. D) Product of eigenvalues. Show Answer Correct Answer: A) The product of diagonal elements. 11. For a square matrix, the sum of the diagonal elements is called the ..... of the matrix. A) Determinant. B) Trace. C) Zero. D) None of these. Show Answer Correct Answer: B) Trace. 12. Question 13 A) 30 26-11-1. B) 30 159-13. C) No solution. D) None of the above. Show Answer Correct Answer: A) 30 26-11-1. 13. 2).If a any square matrix then which of the following is not symmetric? A) A-A$^{t}$. B) A+A$^{t}$. C) AA$^{t}$. D) A$^{t}$A. Show Answer Correct Answer: A) A-A$^{t}$. 14. A matrix is said to be scalar matrix if all the diagonal elements of the square matrices are A) 0. B) 1. C) Equal. D) None of these. Show Answer Correct Answer: C) Equal. 15. What is matrix multiplication? A) Multiplying the corresponding elements of two matrices together. B) Subtracting the corresponding elements of two matrices. C) Dividing the corresponding elements of two matrices. D) Multiplying the rows of the first matrix with the columns of the second matrix. Show Answer Correct Answer: D) Multiplying the rows of the first matrix with the columns of the second matrix. 16. Zero Matrix is A) Non-Singular Matrix. B) Diagonal Matrix. C) Unit Matrix. D) None of these. Show Answer Correct Answer: B) Diagonal Matrix. 17. Los sistemas de ecuaciones que no tienen soluciones son A) Sistemas incompatibles indeterminados. B) Sistemas incompatibles. C) Sistemas compatibles. D) Sistemas insolucionables. Show Answer Correct Answer: B) Sistemas incompatibles. 18. *A square matrix over the field of reals is said to be orthogonal if A) *AA'=A'A= 0. B) *AA'=A'A= I. C) *AA'=A'A= A. D) *AA' is not equal to A'A. Show Answer Correct Answer: B) *AA'=A'A= I. 19. When is a system of equations said to be consistent? A) When its solution exists. B) When its solution does not exist. C) When it has infinite solutions. D) When it has no variables. Show Answer Correct Answer: A) When its solution exists. 20. Si A es una matriz de orden PxN y B es una matriz de orden NxQ, entonces la matriz C = AB es de orden: A) PxN. B) NxQ. C) PxQ. D) PxN y NxQ. Show Answer Correct Answer: C) PxQ. 21. Q7 A) A. B) B. C) C. D) D. Show Answer Correct Answer: B) B. 22. In a robotics competition, a robot's movement matrix is considered skew-symmetric if A) The robot's movement matrix transposed is equal to the negative of the original matrix. B) The robot's movement matrix transposed is equal to the original matrix. C) The robot's movement matrix is a zero matrix. D) None of these. Show Answer Correct Answer: A) The robot's movement matrix transposed is equal to the negative of the original matrix. 23. Are the matrices [[2, 3], [4, 5]] and [[4, 5], [2, 3]] equal? A) No. B) They are similar. C) Yes. D) They are both zero matrices. Show Answer Correct Answer: A) No. 24. Matrix multiplication can be performed to all matrices irrespective of order. A) True. B) False. C) Cannot be determined. D) None. Show Answer Correct Answer: B) False. 25. When we solve determinants do they have any numerical value? 2. do matrices have any numerical value? A) No, yes. B) Yes, no. C) No, no. D) Yes, yes. Show Answer Correct Answer: B) Yes, no. ← 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 10Class 12 Mathematics Chapter 3 Matrices Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books