This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 10 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Its elements are denoted by? A) Non of them. B) Numbers. C) Capital letters. D) Small letters. Show Answer Correct Answer: D) Small letters. 2. Una matriz rectangular, pero con una sola fila. A) Columna. B) Fila. C) Cuadrada. D) Escalar. Show Answer Correct Answer: B) Fila. 3. 3).For what value of $\lambda$ the following system of equations does not have a solution? x + y + z = 6, 4x + $\lambda$y-$\lambda$z = 0, 3 x + 2y-4 z =-5 A) 0. B) 3. C) -3. D) 1. Show Answer Correct Answer: B) 3. 4. A matrix having 36 elements cannot have order A) 9x4. B) 6x6. C) 8x3. D) 36x1. Show Answer Correct Answer: C) 8x3. 5. Derivative of Cos x$^{3}$ w.r.t. x = A) -Sin x$^{3}$. B) -3x$^{2}$ Sinx$^{3}$. C) 3x$^{2}$ Sinx$^{3}$. D) Sinx$^{3}$. Show Answer Correct Answer: B) -3x$^{2}$ Sinx$^{3}$. 6. If the determinant of matrix is zero, then the given matrix is called: A) Square matrix. B) Equal matrix. C) Rectangular matrix. D) Singular matrix. Show Answer Correct Answer: D) Singular matrix. 7. Al multiplicar dos matrices, una matriz $A$ $2\times3$ $B$ $3\times4$ $\left(AB\right)$ $C$ A) $3\times4$. B) $2\times3$. C) $2\times4$. D) No se puede obtener. Show Answer Correct Answer: C) $2\times4$. 8. Integral of e$^{3/2x}$ = A) (3/2) e$^{(-3/2)x}$. B) (2/3) e$^{(-3/2)x}$. C) (-3/2) e$^{(-3/2)x}$. D) (-2/3) e$^{(-3/2)x}$. Show Answer Correct Answer: D) (-2/3) e$^{(-3/2)x}$. 9. Find the determinant of the matrix G = [[3, 4], [5, 6]]. A) The determinant of the matrix G is 3*6-4*5 = 18-20 =-2. B) The determinant of the matrix G is 3*6 + 4*5 = 18 + 20 = 38. C) The determinant of the matrix G is 3*5-4*6 = 15-24 =-9. D) The determinant of the matrix G is 3*4-5*6 = 12-30 =-18. Show Answer Correct Answer: A) The determinant of the matrix G is 3*6-4*5 = 18-20 =-2. 10. If A be an n x n matrix of rank n-2; n>2 then the rank of adj A is A) N. B) N-1. C) 2. D) 0. Show Answer Correct Answer: D) 0. 11. Write the equation of the line through (2, 0) and (-1, 12) A) Y=-12x+2. B) Y=-12x+8. C) Y=-4x+8. D) Y=-4x+2. Show Answer Correct Answer: C) Y=-4x+8. 12. What is the name of each entry in a matrix? A) Row. B) Column. C) Order. D) Element. Show Answer Correct Answer: D) Element. 13. If A is a 3 x 3 matrix such that det (A) = 8, then det (3A) equals ..... A) 8. B) 24. C) 72. D) 216. Show Answer Correct Answer: D) 216. 14. 15). If A is any symmetric matrix then both AA' and A'A are: A) Symmetric matrix. B) Null matrix. C) Skew symmetric matrix. D) Diagonal matrix. Show Answer Correct Answer: A) Symmetric matrix. 15. K(A + B) = kA + kB, where A and B are of same order, k is constant. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 16. Rectangular array of numbers enclosed in brackets A) Matrix. B) Address. C) Rectangle. D) Algebra. Show Answer Correct Answer: A) Matrix. 17. For the non singular matrix A, (A')-1 = (A-1)'. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 18. Derivative of e$^{-7x}$ w.r.t. x = A) E$^{-7x}$. B) -e$^{-7x}$. C) -7e$^{-7x}$. D) 7e$^{-7x}$. Show Answer Correct Answer: C) -7e$^{-7x}$. 19. La matriz nula es la que sus elementos son iguales a: A) 1. B) 2. C) 3. D) 0. Show Answer Correct Answer: D) 0. 20. The Dimension of the Matrix is A) Number of element X number of rows. B) Number of Rows X Number of Columns. C) Number of Rows X Number of Rows. D) None of the above. Show Answer Correct Answer: B) Number of Rows X Number of Columns. 21. What is an inconsistent system of equations? A) A system with no variables. B) A system with no solution. C) A system with infinite solutions. D) A system with a unique solution. Show Answer Correct Answer: B) A system with no solution. 22. If A is a symmetric matrix then order of the A may be A) 1x3. B) 4x1. C) 3x3. D) Only Batra Sir knows. Show Answer Correct Answer: C) 3x3. 23. Solve the system of equations for the value of x.y = 4x+13x + 2y = 13 A) -1. B) -5. C) 1. D) 5. Show Answer Correct Answer: C) 1. 24. When solving for C in the equation CD=E using inverse matrices, you use the equation: A) C=D$^{-1}$E. B) C=ED$^{-1}$. C) C=E$^{-1}$D. D) C=DE$^{-1}$. Show Answer Correct Answer: B) C=ED$^{-1}$. 25. Question 5 A) -5 173 11. B) 1-52 7. C) 1-5-1-3. D) No solution. Show Answer Correct Answer: A) -5 173 11. ← 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 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books