This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A square matrix with all its elements zero, except elements in the leading diagonal is called a: A) Square matrix. B) Diagonal matrix. C) Rectangular matrix. D) Non-diagonal matrix. Show Answer Correct Answer: B) Diagonal matrix. 2. Si $A$ $A^2=0$ $A=0$ A) Verdadero. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: B) Falso. 3. An identity matrix is A) If number of columns and rows are equal. B) A matrix obtained by interchanging its rows and columns. C) If number of columns and rows are not equal. D) A square matrix whose diagonal elements are unity and all other elements are zero. Show Answer Correct Answer: D) A square matrix whose diagonal elements are unity and all other elements are zero. 4. What is the minor of the element in the second row and third column of a determinant? A) The square of the element in the second row and third column. B) The product of the elements in the second row and third column. C) The sum of the elements in the second row and third column. D) The determinant obtained by deleting the second row and third column. Show Answer Correct Answer: D) The determinant obtained by deleting the second row and third column. 5. If A & B are two matrices of the same order such that AB=BA, then which one is not true always A) A is diagonal and B is any matrix. B) A and B both diagonal. C) A is scalar and B is diagonal matrix. D) A is scalar and B is any matrix. Show Answer Correct Answer: A) A is diagonal and B is any matrix. 6. The equation |A-$\lambda$I|=0 is called the A) Characteristic equation. B) Characteristic polynomial. C) Characteristic matrix. D) Eigen values. Show Answer Correct Answer: A) Characteristic equation. 7. Matrices can be multiplied only ..... A) If the row of the first matrix is equal to the column of the second matrix. B) If the column of the first matrix is equal to the column of the second matrix. C) If the column of the first matrix is equal to the row of the second matrix. D) If the row of the first matrix is equal to the row of the second matrix. Show Answer Correct Answer: C) If the column of the first matrix is equal to the row of the second matrix. 8. Methods to find rank of a matrix A) By calculating non-zero minors. B) By triangular form. C) By echelon form. D) By normal form. E) All of the above. Show Answer Correct Answer: E) All of the above. 9. Q5 A) A. B) B. C) C. D) D. Show Answer Correct Answer: D) D. 10. If A and B re two matrices such that AB = B and BA = A then A$^{2}$ + B$^{2}$ is equal to A) 2AB. B) 2BA. C) A+ B. D) AB. Show Answer Correct Answer: C) A+ B. 11. How many rows are there in a 7x3 matrix? A) 7. B) 3. C) 21. D) 10. Show Answer Correct Answer: A) 7. 12. La entrada a$_{42 }$de una matriz representa A) El elemento ubicado en la segunda columna y cuarta fila. B) El elemento ubicado en la fila 2 y columna 4. C) El elemento ubicado en la fila y columna iguales. D) El elemento ubicado en la segunda entrada. Show Answer Correct Answer: A) El elemento ubicado en la segunda columna y cuarta fila. 13. Q1 A) A. B) B. C) C. D) D. Show Answer Correct Answer: B) B. 14. If for a matrix A, A$^{2}$ = I, then find A$^{-1}$. A) A. B) I. C) O. D) None of these. Show Answer Correct Answer: A) A. 15. If A is an SYMMETRIC MATRIX, then $A^T=$ A) A. B) $A^{-1}$. C) -A. D) $-A^T$. Show Answer Correct Answer: A) A. 16. Sea $A$ $A^{-1}A=AA^{-1}$ A) Cierto. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: A) Cierto. 17. If |A| = 0, 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. 18. Find the values of m and n so that x-1 and x + 2 both are factors of x$^{3}$ + (3m + 1) x$^{2}$ + nx-18. A) M =-3, n = 7. B) M = 3, n =-7. C) M =-3, n =-7. D) M = 3, n = 7. Show Answer Correct Answer: D) M = 3, n = 7. 19. What comes first in the dimension? A) Row. B) Column. C) All the above. D) None of the above. Show Answer Correct Answer: A) Row. 20. Diagonal elements of a skew symmetric matrix are all zero A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 21. Cual de las siguientes no es una operacion con matrices. A) Suma de matrices. B) Raiz de matrices. C) Resta de matrices. D) Producto de matrices. Show Answer Correct Answer: B) Raiz de matrices. 22. Which of these expressions can be substituted for x in the second equation? $x+y=12$ $5x=-10y+20$ A) $-x+12$. B) $y-12$. C) $y+12$. D) $-y+12$. Show Answer Correct Answer: D) $-y+12$. 23. If two matrices A and B are of the same order, then 2A + B = B + 2A. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 24. Determine if the matrices [[1, 2], [3, 4]] and [[1, 2], [3, 4]] are equal. A) The matrices cannot be compared. B) No, the matrices are not equal. C) Yes, the matrices are equal. D) The matrices are equal but not identical. Show Answer Correct Answer: C) Yes, the matrices are equal. 25. If A is an ORTHOGONAL MATRIX, then $A^{-1}=$ A) A. B) $A^T$. C) -A. D) $-A^T$. Show Answer Correct Answer: B) $A^T$. ← PreviousNext →Related QuizzesClass 12 Mathematics Chapter 3 Matrices Quiz 1Class 12 Mathematics Chapter 3 Matrices Quiz 2Class 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