This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 13 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 13 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If for two matrices A and B, AB = 0, then A) A = 0 or B = 0. B) Both are O. C) None of them may be O. D) None of these. Show Answer Correct Answer: C) None of them may be O. 2. If P and Q are two different matrices of order 3 $\times$ $\times$ A) 3 $\times$. B) 4 $\times$. C) 3 $\times$. D) 4 $\times$. Show Answer Correct Answer: B) 4 $\times$. 3. Las Matriz Identidad es aquella: A) Que la diagonal principal es 1 y el resto de la matriz esta conformado por valores nulos. B) Que la diagonal secundaria es 1 y el resto de la matriz esta conformado por valores nulos. C) Que la diagonal principal es 1 y el resto de la matriz esta conformado por cuanquier valor. D) Que la diagonal secundaria es 2 y el resto d ela matriz esta conformado por valores nulos. Show Answer Correct Answer: A) Que la diagonal principal es 1 y el resto de la matriz esta conformado por valores nulos. 4. Question 6 A) 12 1 8. B) 16-7-6. C) -12-1-8. D) No solution. Show Answer Correct Answer: A) 12 1 8. 5. Es aquella matriz cuadrada en donde todos los elementos por debajo de la diagonal principal son nulos o ceros. A) Matriz Triangular Superior. B) Matriz Triangular Inferior. C) All the above. D) None of the above. Show Answer Correct Answer: A) Matriz Triangular Superior. 6. How would a scalar multiplication be carried out for a matrix? A) Add the Scalar to every element in the matrix. B) Dot product the rows of one matrix with the columns of the other matrix. C) Multiply every element with the scalar to create a new matrix. D) Subtract the elements in the first matrix from the elements of the second matrix. Show Answer Correct Answer: C) Multiply every element with the scalar to create a new matrix. 7. If m is a 7 x 5 matrix of rank 3 and N is a 5 x 7 matrix of rank 5, then rank (mn) is A) 5. B) 3. C) 2. D) 1. Show Answer Correct Answer: B) 3. 8. If A is a symmetric matrix and n $\epsilon$ $A^n$ A) Symmetric. B) Skew Symmetric. C) Diagonal. D) None of these. Show Answer Correct Answer: A) Symmetric. 9. (kA)'= (where k is any scalar) A) -kA. B) KA'. C) $\frac{1}{k}A'$. D) -kA'. Show Answer Correct Answer: B) KA'. 10. Para sumar dos matrices ..... A) Tienen que tener el mismo orden. B) No importa el orden de las matrices. C) Tienen que tener diferente orden. D) None of the above. Show Answer Correct Answer: A) Tienen que tener el mismo orden. 11. Element a32 is belongs to which row and column in a given matrix A. A) 2nd row, 3rd column. B) 3rd row, 2nd column. C) Can't decide. D) None of the above. Show Answer Correct Answer: B) 3rd row, 2nd column. 12. (k + l) A> kA + lA, where k and l are constant. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 13. The multiplicative inverse of matrix A is denoted by: A) Adj A. B) |A|. C) A$^{t}$. D) A$^{-1}$. Show Answer Correct Answer: D) A$^{-1}$. 14. If a matrix has equal number of rows and column, then it is called: A) Square matrix. B) Equal matrix. C) Rectangular matrix. D) Null matrix. Show Answer Correct Answer: A) Square matrix. 15. What would be the dimension of the matrix product AB?If A$_{1X4 }$and B$_{4X7}$ A) 1X7. B) 4X4. C) 4X7. D) 7X1. Show Answer Correct Answer: A) 1X7. 16. The rank of zero matrix is ..... A) One. B) Two. C) Zero. D) Three. Show Answer Correct Answer: C) Zero. 17. The adjoint of matrix A is denoted by: A) Adj A. B) |A|. C) A$^{t}$. D) A$^{-1}$. Show Answer Correct Answer: A) Adj A. 18. Which of the following statements is true regarding the eigenvalues of a diagonal matrix? A) The eigenvalues are the entries on the diagonal. B) The eigenvalues are always zero. C) The eigenvalues are the sum of the diagonal entries. D) The eigenvalues are the product of the diagonal entries. Show Answer Correct Answer: A) The eigenvalues are the entries on the diagonal. 19. El elemento a$_{42 }$de una matriz representa: A) Segunda columna y cuarta fila. B) Fila 2 y columna 4. C) Fila y columna igual. D) Segunda entrada. Show Answer Correct Answer: A) Segunda columna y cuarta fila. 20. Every square matrix can be uniquely expressed as sum of a symmetric and skew symmetric matrix. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 21. *For a system of n linear homogeneous equations to be have non-trivial solution must have A) |A| must be negative. B) *|A| must be positive. C) *|A| must be equal to zero. D) *No condition on |A|. Show Answer Correct Answer: C) *|A| must be equal to zero. 22. If A and B are square matrix of same order and B is a skew symmetric matrix then the matrix ABA' is A) Not a square matrix. B) Symmetric matrix. C) Skew symmetric matrix. D) May be symmetric may be skew symmetric. Show Answer Correct Answer: C) Skew symmetric matrix. 23. 8). Matrix A when multiplied with Matrix C gives the Identity matrix I, what is C? A) Identity matrix. B) Inverse of A. C) Square of A. D) Transpose of A. Show Answer Correct Answer: B) Inverse of A. 24. If B is a non-singular matrix and A is a square matrix, then det(B$^{-1}$AB) is equal to A) Det (BAB). B) Det (A). C) Det (B$^{-1}$). D) Det (A$^{-1}$). Show Answer Correct Answer: B) Det (A). 25. Factorise x$^{3}$ + 6x$^{2}$ + 11x + 6 completely using factor theorem. A) (x + 1) ( x + 2) ( x + 3). B) (x + 1) ( x-2) ( x + 3). C) (x + 1) ( x + 2) ( x-3). D) (x-1) ( x + 2) ( x + 3). Show Answer Correct Answer: A) (x + 1) ( x + 2) ( x + 3). ← 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 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books