This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 3 Matrices – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 3 Matrices Quiz 4 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. La entrada $a_{42}$ 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. 2. Derivative of x$^{-9/5 }$w.r.t. x = A) (-9/5) x$^{-14/5}$. B) (-9/5) x$^{-4/5}$. C) (9/5) x$^{4/5}$. D) (9/5) x$^{14/5}$. Show Answer Correct Answer: A) (-9/5) x$^{-14/5}$. 3. A matrix which is formed by turning all rows of a given matrix into columns and vice-versa is called A) Skew matrix. B) Transpose matrix. C) Augmented matrix. D) Identity matrix. Show Answer Correct Answer: B) Transpose matrix. 4. The intercepts of the line 3x-2y+6=0 are A) -2, -3. B) -2, 3. C) 2, -3. D) 2, 3. Show Answer Correct Answer: B) -2, 3. 5. Using Remainder Theorem, factorise:x$^{3}$ + 10x$^{2}$-37x + 26 completely. A) (x + 1) (x-13) (x-2). B) (x-1) (x +13) (x-2). C) (x + 1) (x +13) (x-2). D) (x-1) (x-13) (x-2). Show Answer Correct Answer: B) (x-1) (x +13) (x-2). 6. Identify the order of the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]. A) 3x3. B) 3x2. C) 4x2. D) 2x4. Show Answer Correct Answer: A) 3x3. 7. Para sumar dos matrices A+B ..... A) Tienen que tener el mismo orden. B) Alcanza con que la cantidad de filas de A sea igual a la cantidad de columnas B. C) Tienen que tener diferente orden. D) Alcanza con que la cantidad de columnas de A sea igual a la cantidad de filas de B,. Show Answer Correct Answer: A) Tienen que tener el mismo orden. 8. *Determinant of an orthogonal matrix of any order is always A) 1 or-1. B) 0. C) 2 or-2. D) May be any number. Show Answer Correct Answer: A) 1 or-1. 9. If $\lambda$ is the eigenvalue of A, then the eigenvalue of kA is A) K$\lambda$. B) $\lambda$/k. C) K-$\lambda$. D) K + $\lambda$. Show Answer Correct Answer: A) K$\lambda$. 10. La matriz identidad es aquella que ..... A) Tiene unos en la diagonal y ceros en el resto. B) Tiene todo unos. C) Tiene todos ceros. D) El 1. Show Answer Correct Answer: A) Tiene unos en la diagonal y ceros en el resto. 11. The rank of the quadratic form is A) No. of positive eigenvalues. B) No. of positive eigenvalues-No. of negative eigenvalues. C) No. of non-zero eigenvalues. D) None of the above. Show Answer Correct Answer: C) No. of non-zero eigenvalues. 12. Each value in a matrix it is called A) Entry. B) Address. C) Scalar. D) Matrix Multiplication. Show Answer Correct Answer: A) Entry. 13. Is the statement true?Every diagonal matrix is a square matrix, but not every square matrix is a diagonal matrix. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 14. Inverse of a matrix P exists if and only if A) P is a non-singular matrix. B) P is a singular matrix. C) P is a square matrix. D) P is a rectangula matrix. Show Answer Correct Answer: A) P is a non-singular matrix. 15. El determinante de la matriz unidad (o identidad) es: A) 0. B) 1. C) 2. D) 3. Show Answer Correct Answer: B) 1. 16. What is the formula for the area of a triangle with vertices (x1, y1), (x2, y2) and (x3, y3)? A) 1/2(x3(y2-y1) + x1(y3-y2) + x2(y1-y3)). B) 1/2(x2(y1-y3) + x3(y2-y1) + x1(y3-y2)). C) 1/2(x1(y3-y2) + x2(y1-y3) + x3(y2-y1)). D) 1/2(x1(y2-y3) + x2(y3-y1) + x3(y1-y2)). Show Answer Correct Answer: D) 1/2(x1(y2-y3) + x2(y3-y1) + x3(y1-y2)). 17. If the points (3, -2), (x, 2), (8, 8) are collinear, then find the value of x. A) 2. B) 3. C) 4. D) 5. Show Answer Correct Answer: D) 5. 18. When you multiply a matrix by the inverse matrix, you obtain the ..... A) Inverse matrix. B) Opposite matrix. C) Identity matrix. D) Original matrix. Show Answer Correct Answer: C) Identity matrix. 19. If matrix A is of order 2x3 and matrix B is of order 3x1 then order of AB is A) 3x1. B) 1x2. C) 1x3. D) 2x1. Show Answer Correct Answer: D) 2x1. 20. 11). What is the element in the 2nd row and 1st column of a 2 x 2 Matrix A = [ a$_{ij}$], such that a = (i + 3) (j-1) A) 0. B) 4. C) -5. D) 5. Show Answer Correct Answer: A) 0. 21. When adding matrices, you add the corresponding elements in each matrix. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 22. Any square matrix can be expressed as the sum of a symmetric and askew symmetric matrix. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 23. If a matrix is both symmetric and skew symmetric, then A) A is a diagonal matrix. B) A is a zero matrix. C) A diagonal matrix. D) An upper triangular matrix. Show Answer Correct Answer: B) A is a zero matrix. 24. If a matrix has 18 elements, what are the possible orders it can have? A) 5. B) 6. C) 7. D) 8. Show Answer Correct Answer: B) 6. 25. Matices que Busca una respuesta clara A) Abierta. B) Genuina. C) Retorica. D) Mas o menos cargada. Show Answer Correct Answer: B) Genuina. ← 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 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