This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 7 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If A and B are symmetric matrices, then ABA is a A) Symmetric matrix. B) Skew-symmetric matrix. C) Diagonal matrix. D) Scalar matrix. Show Answer Correct Answer: A) Symmetric matrix. 2. What is the condition for two matrices to get added? A) They must be square. B) There order must be equal. C) The determinant can't equal 0. D) None of these. Show Answer Correct Answer: B) There order must be equal. 3. Los establecimientos de comercio abiertos para una sociedad en el interior o el exterior, dirigidos por administradores con facultades para representar la sociedad central, se denominan: A) Sucursales. B) Agencias. C) Filiales. D) Subsidiarias. Show Answer Correct Answer: A) Sucursales. 4. Using determinants, find the area of the triangle whose vertices are (0, 0), (4, 3) and (8, 0). A) 12. B) 21. C) 24. D) NONE OF THE ABOVE. Show Answer Correct Answer: A) 12. 5. Si la matriz A es de orden 2 x 4 y la B es de 4x 3, el producto de A.B es de orden: A) 2x3. B) 3x2. C) 2x2. D) 4x4. Show Answer Correct Answer: A) 2x3. 6. If [4 8] = [2+2 12-4], the it is a/an: A) Square matrix. B) Equal matrix. C) Rectangular matrix. D) Singular matrix. Show Answer Correct Answer: B) Equal matrix. 7. The value of a ..... does not change when rows and columns are interchanged. A) Matrix. B) Determinant. C) Linear space. D) None of the above. Show Answer Correct Answer: B) Determinant. 8. If A be any square matrix, then AA' and A'A will be both A) Skew symmetric. B) Symmetric. C) Either skew symmetric or symmetric. D) Neither skew symmetric nor symmetric. Show Answer Correct Answer: B) Symmetric. 9. If all the elements of a matrix are zeros, it is: A) Square matrix. B) Equal matrix. C) Rectangular matrix. D) Null matrix. Show Answer Correct Answer: D) Null matrix. 10. Matrices are usually named using A) A letter. B) A number. C) A capital letter. D) Two numbers. Show Answer Correct Answer: C) A capital letter. 11. If a square matrix A is symmetric matrix then kA is (where k is some scalar) A) A symmetric matrix. B) A skew symmetric matrix. C) Symmetric matrix if k is positive. D) Symmetric if k is negative. Show Answer Correct Answer: A) A symmetric matrix. 12. (2 x 3) Matrix have A) 2 Rows and 3 Columns. B) 3 Rows and 2 Columns. C) 6 Rows and 6 Columns. D) None of the above. Show Answer Correct Answer: A) 2 Rows and 3 Columns. 13. A matrix which diagonal elements are equal and non-diagonal elements are zero is called A) COLUMN MATRIX. B) SCALAR MATRIX. C) DIAGONAL MATRIX. D) ROW MATRIX. Show Answer Correct Answer: B) SCALAR MATRIX. 14. |A| not= 0, name the matrix A) Non-singular. B) Singular. C) Diagonal. D) Square. Show Answer Correct Answer: A) Non-singular. 15. Si el determinante de una matriz es cero entonces: A) La matriz tiene inversa. B) La matriz no tiene inversa. C) La matriz tiene adjunta. D) La matriz no tiene adjunta. Show Answer Correct Answer: B) La matriz no tiene inversa. 16. What is matrix addition? 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) Adding the corresponding elements of two matrices together. Show Answer Correct Answer: D) Adding the corresponding elements of two matrices together. 17. Matrix multiplication is associative. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 18. If A and B are two n-rowed square matrices, then $\rho\left(AB\right) ..... \rho\left(A\right)+\rho\left(B\right)-n$ A) $\ge$. B) $\le$. C) $\ne$. D) >. Show Answer Correct Answer: A) $\ge$. 19. Solution of the system defined by the set of equations 4y+ 3z = 8, 3x-z = 2 and 3x+ 2y = 5 is A) X=0, y=1, z=4/3. B) X=0, y=1/2, z=2. C) X=1, y=1/2, z=2. D) Does not exist. Show Answer Correct Answer: D) Does not exist. 20. 5). If A is any square matrix, then A) A+A$^{t}$ is symmetric. B) A-A$^{t}$ is symmetric. C) A+A$^{t}$ is skew-symmetric. D) None of these. Show Answer Correct Answer: A) A+A$^{t}$ is symmetric. 21. State True or false:Matrix addition is associative as well as commutative. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 22. If A is a square matrix Ax=$\lambda$x for nonzero scalar $\lambda$, then x is an eigenvector of A A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 23. Let A be a square matrix of order 3x3 then| kA| = . A) K |A|. B) K$^{2}$|A|. C) K$^{3}$|A|. D) 3k|A|. Show Answer Correct Answer: C) K$^{3}$|A|. 24. Solve by elimination. $4x-4y=-20$ $10x-5y=10$ A) (7, 12). B) ( 12, 7). C) (-1, 4). D) ( 4, -1). Show Answer Correct Answer: A) (7, 12). 25. You can multiply a 2X3 matrix by a matrix of order A) 2X2. B) 2X12. C) 3X12. D) 2X3. Show Answer Correct Answer: C) 3X12. ← 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 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