This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 8 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Determine if the matrices [[1, 2], [3, 4]] and [[1, 2], [4, 3]] are equal. A) The matrices are equal. B) The first matrix is larger. C) The matrices are both zero matrices. D) The matrices are not equal. Show Answer Correct Answer: D) The matrices are not equal. 2. If the product of two real number is one then number are called: A) Equal matrices. B) Null matrices. C) Additive inverse of each other. D) Multiplicative inverse of each other. Show Answer Correct Answer: D) Multiplicative inverse of each other. 3. Matrix addition is associative. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 4. *If A is a square matrix of order 3 such that |adj. A|=16. then what will be |A| A) 16. B) 13. C) -16. D) 4. Show Answer Correct Answer: D) 4. 5. If A and B are invertible matrix then (AB)$^{-1}$ = A) A$^{-1}$B$^{-1}$. B) AB. C) B$^{-1}$A$^{-1}$. D) None of these. Show Answer Correct Answer: C) B$^{-1}$A$^{-1}$. 6. Let D be a non-zero n x n real matrix with n$\geq$2 which of the following implications is valid? A) Det(D) = 0 $\Longrightarrow$. B) A) det(D) = 1 $\Longrightarrow$ $\ne$. C) Rank(D) =1 $\Longrightarrow$ $\ne$. D) Rank(D) = n $\Longrightarrow$ $\ne$. Show Answer Correct Answer: B) A) det(D) = 1 $\Longrightarrow$ $\ne$. 7. [a b] has: A) One row and one column. B) One row and two columns. C) Two rows and two columns. D) Two rows and one column. Show Answer Correct Answer: B) One row and two columns. 8. How is the cofactor of an element aij defined? A) Aij = (-1)ijMij, where Mij is the square of the element aij. B) Aij = (-1)ijMij, where Mij is the product of the elements in the ith row and jth column. C) Aij = (-1)ijMij, where Mij is the determinant obtained by deleting the ith row and jth column. D) Aij = (-1)ijMij, where Mij is the sum of the elements in the ith row and jth column. Show Answer Correct Answer: C) Aij = (-1)ijMij, where Mij is the determinant obtained by deleting the ith row and jth column. 9. Para obtener la inversa de una matriz se tiene que A) Cambiar las filas por las columnas. B) Cambiar el signo de los elementos de la matriz. C) Las dos anteriores. D) Ninguna. Show Answer Correct Answer: B) Cambiar el signo de los elementos de la matriz. 10. The number of all possible matrices of order $2\times3$ A) 16. B) 6. C) 64. D) 24. Show Answer Correct Answer: C) 64. 11. A non homogeneous system of linear equations may have A) Zero solution only. B) Non zero solution only. C) Zero solution and/or non zero solution. D) None. Show Answer Correct Answer: C) Zero solution and/or non zero solution. 12. Calculate the difference between the matrices C = [[5, 6], [7, 8]] and D = [[3, 2], [1, 4]]. A) [[6, 5], [4, 3]]. B) [[2, 4], [6, 4]]. C) [[1, 2], [3, 4]]. D) [[4, 3], [2, 1]]. Show Answer Correct Answer: B) [[2, 4], [6, 4]]. 13. Solve for x:x-y =-6x + y = 8 A) -1. B) 7. C) 1. D) 8. Show Answer Correct Answer: C) 1. 14. Let AX=B be a system of m linear equations in n variables.If |A|=0 and adj(A).B=0, then the system is ..... A) Consistent and has unique solution. B) Consistent and has infinite number of solutions. C) Inconsistent and has no solution. D) None of the above. Show Answer Correct Answer: B) Consistent and has infinite number of solutions. 15. If B is the inverse of A, then A is also the inverse of B. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 16. The equation C = 50 + 1.25 (x-100) models the yearly cost, C, to use a professional photo printing service. To use the service, Jessica pays a $ 50 yearly subscription fee and $ 1.25 per photo after the first 100 photos (the first 100 photos are included with the $ 50 subscription). The variable x represents the number of photographs. Rewrite the formula for x in terms of C. A) $x=C+40$. B) $x=.8c+40$. C) $x=\frac{c}{1.25}+\frac{50}{1.25}$. D) $x=.8c+60$. Show Answer Correct Answer: D) $x=.8c+60$. 17. En una matriz identidad de orden 4, los elementos suman ..... A) 2. B) 8. C) 6. D) 4. Show Answer Correct Answer: D) 4. 18. The matrix A and A$^{T}$ are always conformable for addaition. A) Yes. B) No. C) Can't say. D) None of the above. Show Answer Correct Answer: B) No. 19. Matriz columna es la Matriz que no tiene ninguna columna A) Verdadera. B) Falso. C) All the above. D) None of the above. Show Answer Correct Answer: B) Falso. 20. The order of a matrix is written as A) Number of rows x number of columns. B) Number of columns x number of rows. C) A multiple. D) A number. Show Answer Correct Answer: A) Number of rows x number of columns. 21. What can be concluded about the eigenvalues of a matrix that is both symmetric and positive definite? A) All eigenvalues are real and positive. B) All eigenvalues are complex. C) At least one eigenvalue is negative. D) Eigenvalues can be zero. Show Answer Correct Answer: A) All eigenvalues are real and positive. 22. What least number must be subtracted from each of the numbers 7, 17 and 47 so that the remainders are in continued proportion? A) 0. B) 1. C) 2. D) 3. Show Answer Correct Answer: C) 2. 23. The determinant of matrix A is denoted by: A) Adj A. B) |A|. C) A$^{t}$. D) A$^{-1}$. Show Answer Correct Answer: B) |A|. 24. The number of all possible matrices of order 2 x 3 with each entry 1 or 2 is A) 12. B) 64. C) 81. D) 7. Show Answer Correct Answer: B) 64. 25. Solve for the value of the x-coordinate.8x-6y + 20 = 07y-16x-45 =-15 A) 2. B) -2. C) -1. D) 1. Show Answer Correct Answer: C) -1. ← 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 9Class 12 Mathematics Chapter 3 Matrices Quiz 10Class 12 Mathematics Chapter 3 Matrices Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books