This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 1 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the determinant of the matrix [[1, 2], [3, 4]]? A) -2. B) -1. C) 0. D) 2. Show Answer Correct Answer: A) -2. 2. Two matrices can be added if they are A) Of same size. B) Square matrices. C) Row matrices. D) Column matrices. Show Answer Correct Answer: A) Of same size. 3. Bucle y lazo significa lo mismo A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Verdadero. 4. If A and B are symmetric matrices of the same order then AB-BA is a A) Symmetric Matrix. B) Skew-symmetric matrix. C) Zero Matrix. D) Identity matrix. Show Answer Correct Answer: B) Skew-symmetric matrix. 5. How many columns are there in a 5x4 matrix? A) 5. B) 4. C) 20. D) 9. Show Answer Correct Answer: B) 4. 6. Question 7 A) No solution. B) 12 521 23. C) 2 56 23. D) 12-521 8. Show Answer Correct Answer: A) No solution. 7. Matices que Son preguntas que tienen varias respuestas es A) Cargada. B) Ma o menos cargada. C) Cerrada. D) Abierta. Show Answer Correct Answer: A) Cargada. 8. Una matriz rectangular, pero con una sola columna. A) Columna. B) Fila. C) Rectangular. D) Escalar. Show Answer Correct Answer: A) Columna. 9. How many types of matrices are there? A) 4. B) 11. C) 5. D) 2. Show Answer Correct Answer: B) 11. 10. Square matrix B is known as skew symmetric if A) B=B'. B) B'+B=0. C) B-B'=0. D) None of these. Show Answer Correct Answer: B) B'+B=0. 11. If 4x + 3y + 6z = 25, x + 5y + 7z = 13, 2x + 9y + z = 1, then z = ..... A) 1. B) 3. C) -2. D) 2. Show Answer Correct Answer: D) 2. 12. Given the determinant, determine which system would have one unique solution. A) Det (A) =-3. B) Det (A) = 0. C) All the above. D) None of the above. Show Answer Correct Answer: A) Det (A) =-3. 13. Question 9 A) -15 2. B) 9-8. C) -36 15. D) None of the above. Show Answer Correct Answer: C) -36 15. 14. A matrix is an ordered rectangular array of numbers or functions. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 15. The following equations relate the number of children (x) and adults (y) who bought tickets for a Thanksgiving dinner and the money collected in ticket sales. $x+y=2200$ $1.5x+4y=5050$ A) 5050 people attended the event. B) Adult tickets cost $ 4 each. C) Ticket sales totaled $ 2200. D) Four adults purchased tickets. Show Answer Correct Answer: B) Adult tickets cost $ 4 each. 16. If A and B are square matrices of the same order, then (A + B) (A-B) is equal to A) A$^{2}$-B$^{2}$. B) A$^{2}$-BA-AB-B$^{2}$. C) A$^{2}$-B$^{2 }$+ BA-AB. D) A$^{2}$-BA + B$^{2}$ + AB. Show Answer Correct Answer: C) A$^{2}$-B$^{2 }$+ BA-AB. 17. *Determinant of a skew-symmetric matrix of odd order is always A) 1. B) 0. C) -1. D) May be any number. Show Answer Correct Answer: B) 0. 18. Find the sum of the matrices A = [[2, 3], [4, 5]] and B = [[1, 2], [3, 4]]. A) [[3, 5], [7, 9]]. B) [[1, 3], [2, 4]]. C) [[5, 7], [9, 11]]. D) [[6, 8], [10, 12]]. Show Answer Correct Answer: A) [[3, 5], [7, 9]]. 19. How many columns are in a 5 x 4 matrix? A) 5. B) 4. C) 20. D) None of the above. Show Answer Correct Answer: B) 4. 20. A matrix is a rectangular group of numbers set out in A) Squares. B) Rectangles. C) Columns and rows. D) Rows and columns. Show Answer Correct Answer: D) Rows and columns. 21. Solve using matrices. $2x+y+z=4$ $3x+4z=11+y$ $-y+5z=20-x$ A) X = 4y = 11z = 20. B) X = 2y = 3z = 1. C) X = 1y =-1z =-1. D) X =-2y = 3z = 5. Show Answer Correct Answer: D) X =-2y = 3z = 5. 22. In a mathematics class, a square matrix is considered symmetric if A) The transpose of the matrix is equal to the matrix itself. B) The transpose of the matrix is equal to the negative of the matrix. C) The matrix is equal to the zero matrix. D) None of these. Show Answer Correct Answer: B) The transpose of the matrix is equal to the negative of the matrix. 23. What are the dimensions of the product of [2X4] * [3x4]? A) Not possible. B) [2x4]. C) [4x3]. D) [3x2]. Show Answer Correct Answer: A) Not possible. 24. Q2 A) A. B) B. C) C. D) D. Show Answer Correct Answer: D) D. 25. The eigenvector corresponding to distinct eigenvalues of a real symmetric matrix are A) Orthogonal. B) Unitary. C) Have repeated vectors. D) Does not exist. Show Answer Correct Answer: A) Orthogonal. 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